2601056102400 has 3456 divisors, whose sum is σ = 12225717504000. Its totient is φ = 538432634880.

The previous prime is 2601056102399. The next prime is 2601056102413. The reversal of 2601056102400 is 42016501062.

2601056102400 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 0 + 5 + 610 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55341619177 + ... + 55341619223.

It is an arithmetic number, because the mean of its divisors is an integer number (3537534000).

Almost surely, 2^{2601056102400} is an apocalyptic number.

2601056102400 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 2601056102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112858752000).

2601056102400 is an abundant number, since it is smaller than the sum of its proper divisors (9624661401600).

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

2601056102400 is a wasteful number, since it uses less digits than its factorization.

2601056102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 2601056102400 in words is "two trillion, six hundred one billion, fifty-six million, one hundred two thousand, four hundred".