2612433061600 has 72 divisors (see below), whose sum is σ = 6390592179048. Its totient is φ = 1042844812800.

The previous prime is 2612433061571. The next prime is 2612433061699. The reversal of 2612433061600 is 61603342162.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2932599 + ... + 3718198.

It is an arithmetic number, because the mean of its divisors is an integer number (88758224709).

Almost surely, 2^{2612433061600} is an apocalyptic number.

2612433061600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2612433061600 is an abundant number, since it is smaller than the sum of its proper divisors (3778159117448).

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

2612433061600 is a wasteful number, since it uses less digits than its factorization.

2612433061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6651308 (or 6651295 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 2612433061600 in words is "two trillion, six hundred twelve billion, four hundred thirty-three million, sixty-one thousand, six hundred".