2566602502464 has 672 divisors, whose sum is σ = 9707262206976. Its totient is φ = 579161456640.

The previous prime is 2566602502439. The next prime is 2566602502489. The reversal of 2566602502464 is 4642052066652.

It is an interprime number because it is at equal distance from previous prime (2566602502439) and next prime (2566602502489).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42444219 + ... + 42504645.

Almost surely, 2^{2566602502464} is an apocalyptic number.

2566602502464 is a gapful number since it is divisible by the number (24) 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 2566602502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853631103488).

2566602502464 is an abundant number, since it is smaller than the sum of its proper divisors (7140659704512).

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

2566602502464 is a wasteful number, since it uses less digits than its factorization.

2566602502464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60503 (or 60480 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 2566602502464 in words is "two trillion, five hundred sixty-six billion, six hundred two million, five hundred two thousand, four hundred sixty-four".