2662538757120 has 1408 divisors, whose sum is σ = 10770822720000. Its totient is φ = 617828843520.

The previous prime is 2662538757103. The next prime is 2662538757161. The reversal of 2662538757120 is 217578352662.

2662538757120 is a `hidden beast` number, since 2 + 6 + 62 + 5 + 3 + 8 + 7 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×2662538757120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7629050706 + ... + 7629051054.

Almost surely, 2^{2662538757120} is an apocalyptic number.

2662538757120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2662538757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385411360000).

2662538757120 is an abundant number, since it is smaller than the sum of its proper divisors (8108283962880).

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

2662538757120 is a wasteful number, since it uses less digits than its factorization.

2662538757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 2662538757120 in words is "two trillion, six hundred sixty-two billion, five hundred thirty-eight million, seven hundred fifty-seven thousand, one hundred twenty".