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2400240202040 = 235174176184523
BaseRepresentation
bin100010111011011001011…
…101101111000100111000
322111110102212101202012202
4202323121131233010320
5303311142442431130
65034353301325332
7335261122042412
oct42733135570470
98443385352182
102400240202040
11845a3302456a
12329223706848
131454598944a5
148425a8db9b2
1542680a22145
hex22ed976f138

2400240202040 has 64 divisors (see below), whose sum is σ = 5718423886560. Its totient is φ = 903587512320.

The previous prime is 2400240201943. The next prime is 2400240202079. The reversal of 2400240202040 is 402020420042.

It is a super-2 number, since 2×24002402020402 (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28355219 + ... + 28439741.

Almost surely, 22400240202040 is an apocalyptic number.

2400240202040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400240202040 is an abundant number, since it is smaller than the sum of its proper divisors (3318183684520).

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

2400240202040 is a wasteful number, since it uses less digits than its factorization.

2400240202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126312 (or 126308 counting only the distinct ones).

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

Adding to 2400240202040 its reverse (402020420042), we get a palindrome (2802260622082).

The spelling of 2400240202040 in words is "two trillion, four hundred billion, two hundred forty million, two hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 41761 83522 84523 167044 169046 208805 334088 338092 417610 422615 676184 709937 835220 845230 1419874 1436891 1670440 1690460 2839748 2873782 3380920 3549685 5679496 5747564 7099370 7184455 11495128 14198740 14368910 28397480 28737820 57475640 3529765003 7059530006 14119060012 17648825015 28238120024 35297650030 60006005051 70595300060 120012010102 141190600120 240024020204 300030025255 480048040408 600060050510 1200120101020 2400240202040