2428261490944 has 135 divisors (see below), whose sum is σ = 5165300975457. Its totient is φ = 1139320455168.

The previous prime is 2428261490923. The next prime is 2428261490971. The reversal of 2428261490944 is 4490941628242.

The square root of 2428261490944 is 1558288.

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

It can be written as a sum of positive squares in 7 ways, for example, as 429182214400 + 1999079276544 = 655120^2 + 1413888^2 .

It is a super-2 number, since 2×2428261490944² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7205523544 + ... + 7205523880.

Almost surely, 2^{2428261490944} is an apocalyptic number.

2428261490944 is the 1558288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428261490944

2428261490944 is an abundant number, since it is smaller than the sum of its proper divisors (2737039484513).

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

2428261490944 is an frugal number, since it uses more digits than its factorization.

2428261490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 2428261490944 in words is "two trillion, four hundred twenty-eight billion, two hundred sixty-one million, four hundred ninety thousand, nine hundred forty-four".