2617064420 has 48 divisors (see below), whose sum is σ = 5568959088. Its totient is φ = 1032990720.

The previous prime is 2617064393. The next prime is 2617064431. The reversal of 2617064420 is 244607162.

It can be written as a sum of positive squares in 8 ways, for example, as 26050816 + 2591013604 = 5104^2 + 50902^2 .

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, 471260 + ... + 476780.

It is an arithmetic number, because the mean of its divisors is an integer number (116019981).

Almost surely, 2^2617064420 is an apocalyptic number.

2617064420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2617064420 is an abundant number, since it is smaller than the sum of its proper divisors (2951894668).

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

2617064420 is a wasteful number, since it uses less digits than its factorization.

2617064420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2617064420 is about 51157.2518808429. The cubic root of 2617064420 is about 1378.0706111919.

The spelling of 2617064420 in words is "two billion, six hundred seventeen million, sixty-four thousand, four hundred twenty".