2581653490700 has 36 divisors (see below), whose sum is σ = 5626231851240. Its totient is φ = 1028229363840.

The previous prime is 2581653490687. The next prime is 2581653490723. The reversal of 2581653490700 is 70943561852.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55376990 + ... + 55423589.

It is an arithmetic number, because the mean of its divisors is an integer number (156284218090).

It is a 1-persistent number, because it is pandigital, but 2⋅2581653490700 = 5163306981400 is not.

Almost surely, 2^{2581653490700} is an apocalyptic number.

2581653490700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2581653490700 is an abundant number, since it is smaller than the sum of its proper divisors (3044578360540).

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

2581653490700 is a wasteful number, since it uses less digits than its factorization.

2581653490700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110800826 (or 110800819 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 2581653490700 in words is "two trillion, five hundred eighty-one billion, six hundred fifty-three million, four hundred ninety thousand, seven hundred".