2613146240 has 64 divisors (see below), whose sum is σ = 6448619520. Its totient is φ = 1011532800.

The previous prime is 2613146233. The next prime is 2613146299. The reversal of 2613146240 is 426413162.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2613146240² = 13657066543252275200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46016 + ... + 85695.

It is an arithmetic number, because the mean of its divisors is an integer number (100759680).

Almost surely, 2^2613146240 is an apocalyptic number.

2613146240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2613146240 is an abundant number, since it is smaller than the sum of its proper divisors (3835473280).

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

2613146240 is a wasteful number, since it uses less digits than its factorization.

2613146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131761 (or 131749 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2613146240 is about 51118.9420860800. The cubic root of 2613146240 is about 1377.3825341779.

The spelling of 2613146240 in words is "two billion, six hundred thirteen million, one hundred forty-six thousand, two hundred forty".