2560377972600 has 960 divisors, whose sum is σ = 10735037913600. Its totient is φ = 552500352000.

The previous prime is 2560377972589. The next prime is 2560377972671. The reversal of 2560377972600 is 62797730652.

2560377972600 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 377 + 9 + 7 + 260 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 670078690 + ... + 670082510.

It is an arithmetic number, because the mean of its divisors is an integer number (11182331160).

Almost surely, 2^{2560377972600} is an apocalyptic number.

2560377972600 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 2560377972600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367518956800).

2560377972600 is an abundant number, since it is smaller than the sum of its proper divisors (8174659941000).

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

2560377972600 is a wasteful number, since it uses less digits than its factorization.

2560377972600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 2560377972600 in words is "two trillion, five hundred sixty billion, three hundred seventy-seven million, nine hundred seventy-two thousand, six hundred".