2565681645240 has 2688 divisors, whose sum is σ = 11503869419520. Its totient is φ = 502541107200.

The previous prime is 2565681645221. The next prime is 2565681645251. The reversal of 2565681645240 is 425461865652.

2565681645240 is a `hidden beast` number, since 2 + 5 + 6 + 56 + 8 + 1 + 64 + 524 + 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 671 ways as a sum of consecutive naturals, for example, 42060354810 + ... + 42060354870.

Almost surely, 2^{2565681645240} is an apocalyptic number.

2565681645240 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 2565681645240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751934709760).

2565681645240 is an abundant number, since it is smaller than the sum of its proper divisors (8938187774280).

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

2565681645240 is a wasteful number, since it uses less digits than its factorization.

2565681645240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 2565681645240 in words is "two trillion, five hundred sixty-five billion, six hundred eighty-one million, six hundred forty-five thousand, two hundred forty".