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2040424400 = 24527728723
BaseRepresentation
bin111100110011110…
…0110011111010000
312021012102022002002
41321213212133100
513134322040100
6534245213132
7101364215120
oct17147463720
95235368062
102040424400
11957848063
1248b4011a8
1326695c121
14154dbcc80
15be1ea2d5
hex799e67d0

2040424400 has 60 divisors (see below), whose sum is σ = 5602430112. Its totient is φ = 699573120.

The previous prime is 2040424363. The next prime is 2040424447. The reversal of 2040424400 is 44240402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 361562 + ... + 367161.

Almost surely, 22040424400 is an apocalyptic number.

2040424400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040424400 is an abundant number, since it is smaller than the sum of its proper divisors (3562005712).

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

2040424400 is a wasteful number, since it uses less digits than its factorization.

2040424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728748 (or 728737 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2040424400 is about 45171.0571051863. The cubic root of 2040424400 is about 1268.3530846071.

Adding to 2040424400 its reverse (44240402), we get a palindrome (2084664802).

The spelling of 2040424400 in words is "two billion, forty million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 728723 1457446 2914892 3643615 5101061 5829784 7287230 10202122 11659568 14574460 18218075 20404244 25505305 29148920 36436150 40808488 51010610 58297840 72872300 81616976 102021220 127526525 145744600 204042440 255053050 291489200 408084880 510106100 1020212200 2040424400