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2040244022400 = 27352212525419
BaseRepresentation
bin11101101100001000000…
…001010010110010000000
321020001020010002000021020
4131230020001102302000
5231411404432204100
64201135234025440
7300255102023313
oct35541001226200
97201203060236
102040244022400
1171729861a531
1228b4b5718280
1311a51804558c
1470a6961c97a
15381111175a0
hex1db08052c80

2040244022400 has 96 divisors (see below), whose sum is σ = 6720053780400. Its totient is φ = 544065070080.

The previous prime is 2040244022387. The next prime is 2040244022413. The reversal of 2040244022400 is 42204420402.

It is an interprime number because it is at equal distance from previous prime (2040244022387) and next prime (2040244022413).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106253110 + ... + 106272309.

Almost surely, 22040244022400 is an apocalyptic number.

2040244022400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040244022400 is an abundant number, since it is smaller than the sum of its proper divisors (4679809758000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2040244022400 is a wasteful number, since it uses less digits than its factorization.

2040244022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212525446 (or 212525429 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2040244022400 its reverse (42204420402), we get a palindrome (2082448442802).

The spelling of 2040244022400 in words is "two trillion, forty billion, two hundred forty-four million, twenty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 212525419 425050838 637576257 850101676 1062627095 1275152514 1700203352 2125254190 2550305028 3187881285 3400406704 4250508380 5100610056 5313135475 6375762570 6800813408 8501016760 10201220112 10626270950 12751525140 13601626816 15939406425 17002033520 20402440224 21252541900 25503050280 27203253632 31878812850 34004067040 40804880448 42505083800 51006100560 63757625700 68008134080 81609760896 85010167600 102012201120 127515251400 136016268160 170020335200 204024402240 255030502800 340040670400 408048804480 510061005600 680081340800 1020122011200 2040244022400