2612027664 has 45 divisors (see below), whose sum is σ = 7311766423. Its totient is φ = 870471456.

The previous prime is 2612027653. The next prime is 2612027681. The reversal of 2612027664 is 4667202162.

The square root of 2612027664 is 51108.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 611167 + ... + 615425.

Almost surely, 2^2612027664 is an apocalyptic number.

2612027664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2612027664 is the 51108-th square number.

It is an amenable number.

2612027664 is an abundant number, since it is smaller than the sum of its proper divisors (4699738759).

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

2612027664 is an frugal number, since it uses more digits than its factorization.

2612027664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8532 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 2612027664 is about 1377.1859733029.

Multiplying 2612027664 by its sum of digits (36), we get a square (94032995904 = 306648²).

2612027664 divided by its sum of digits (36) gives a square (72556324 = 8518²).

The spelling of 2612027664 in words is "two billion, six hundred twelve million, twenty-seven thousand, six hundred sixty-four".