2566210061250 has 480 divisors, whose sum is σ = 7788297097152. Its totient is φ = 605102400000.

The previous prime is 2566210061231. The next prime is 2566210061269. The reversal of 2566210061250 is 521600126652.

2566210061250 is a `hidden beast` number, since 2 + 5 + 6 + 621 + 0 + 0 + 6 + 1 + 25 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2566210061231) and next prime (2566210061269).

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, 1473985380 + ... + 1473987120.

Almost surely, 2^{2566210061250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566210061250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894148548576).

2566210061250 is an abundant number, since it is smaller than the sum of its proper divisors (5222087035902).

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

2566210061250 is a wasteful number, since it uses less digits than its factorization.

2566210061250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2566210061250 in words is "two trillion, five hundred sixty-six billion, two hundred ten million, sixty-one thousand, two hundred fifty".