2506681850880 has 176 divisors, whose sum is σ = 8044843038624. Its totient is φ = 666165903360.

The previous prime is 2506681850879. The next prime is 2506681850983. The reversal of 2506681850880 is 880581866052.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2506681850880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4221990 + ... + 4778970.

Almost surely, 2^{2506681850880} is an apocalyptic number.

2506681850880 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 2506681850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022421519312).

2506681850880 is an abundant number, since it is smaller than the sum of its proper divisors (5538161187744).

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

2506681850880 is a wasteful number, since it uses less digits than its factorization.

2506681850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557302 (or 557284 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 57.

The spelling of 2506681850880 in words is "two trillion, five hundred six billion, six hundred eighty-one million, eight hundred fifty thousand, eight hundred eighty".