2560267617600 has 1344 divisors, whose sum is σ = 10740246865920. Its totient is φ = 518563430400.

The previous prime is 2560267617599. The next prime is 2560267617601. The reversal of 2560267617600 is 67167620652.

It is an interprime number because it is at equal distance from previous prime (2560267617599) and next prime (2560267617601).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2560267617600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560267617601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2987476372 + ... + 2987477228.

Almost surely, 2^{2560267617600} is an apocalyptic number.

2560267617600 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 2560267617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370123432960).

2560267617600 is an abundant number, since it is smaller than the sum of its proper divisors (8179979248320).

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

2560267617600 is a wasteful number, since it uses less digits than its factorization.

2560267617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 2560267617600 in words is "two trillion, five hundred sixty billion, two hundred sixty-seven million, six hundred seventeen thousand, six hundred".