2601105562440 has 384 divisors, whose sum is σ = 11094259737600. Its totient is φ = 512042549760.

The previous prime is 2601105562423. The next prime is 2601105562441. The reversal of 2601105562440 is 442655011062.

2601105562440 is a `hidden beast` number, since 2 + 60 + 1 + 1 + 0 + 556 + 2 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2601105562395 and 2601105562404.

It is not an unprimeable number, because it can be changed into a prime (2601105562441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1942662 + ... + 2996021.

It is an arithmetic number, because the mean of its divisors is an integer number (28891301400).

Almost surely, 2^{2601105562440} is an apocalyptic number.

2601105562440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2601105562440 is an abundant number, since it is smaller than the sum of its proper divisors (8493154175160).

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

2601105562440 is a wasteful number, since it uses less digits than its factorization.

2601105562440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938737 (or 4938730 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2601105562440 in words is "two trillion, six hundred one billion, one hundred five million, five hundred sixty-two thousand, four hundred forty".