2560400906400 has 288 divisors, whose sum is σ = 9269266104000. Its totient is φ = 682098969600.

The previous prime is 2560400906377. The next prime is 2560400906419. The reversal of 2560400906400 is 46090040652.

2560400906400 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 4 + 0 + 0 + 9 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21995551 + ... + 22111649.

It is an arithmetic number, because the mean of its divisors is an integer number (32184951750).

Almost surely, 2^{2560400906400} is an apocalyptic number.

2560400906400 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 2560400906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634633052000).

2560400906400 is an abundant number, since it is smaller than the sum of its proper divisors (6708865197600).

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

2560400906400 is a wasteful number, since it uses less digits than its factorization.

2560400906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117149 (or 117130 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2560400906400 in words is "two trillion, five hundred sixty billion, four hundred million, nine hundred six thousand, four hundred".