2612845456 has 45 divisors (see below), whose sum is σ = 5487339729. Its totient is φ = 1204701888.

The previous prime is 2612845409. The next prime is 2612845489. The reversal of 2612845456 is 6545482162.

The square root of 2612845456 is 51116.

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

It can be written as a sum of positive squares in only one way, i.e., 386515600 + 2226329856 = 19660^2 + 47184^2 .

It is a super-2 number, since 2×2612845456² = 13653922753879695872, which contains 22 as substring.

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, 2657541 + ... + 2658523.

Almost surely, 2^2612845456 is an apocalyptic number.

2612845456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2612845456 is the 51116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2612845456

2612845456 is an abundant number, since it is smaller than the sum of its proper divisors (2874494273).

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

2612845456 is an frugal number, since it uses more digits than its factorization.

2612845456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 998 counting only the distinct ones).

The product of its digits is 460800, while the sum is 43.

The cubic root of 2612845456 is about 1377.3296846641.

The spelling of 2612845456 in words is "two billion, six hundred twelve million, eight hundred forty-five thousand, four hundred fifty-six".