2530492416 has 135 divisors (see below), whose sum is σ = 7366316503. Its totient is φ = 837058560.

The previous prime is 2530492387. The next prime is 2530492417. The reversal of 2530492416 is 6142940352.

It is a happy number.

The square root of 2530492416 is 50304.

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 not an unprimeable number, because it can be changed into a prime (2530492417) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19316671 + ... + 19316801.

Almost surely, 2^2530492416 is an apocalyptic number.

2530492416 is the 50304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530492416

2530492416 is an abundant number, since it is smaller than the sum of its proper divisors (4835824087).

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

2530492416 is an frugal number, since it uses more digits than its factorization.

2530492416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 2530492416 is about 1362.7044684416.

Multiplying 2530492416 by its sum of digits (36), we get a square (91097726976 = 301824²).

2530492416 divided by its sum of digits (36) gives a square (70291456 = 8384²).

The spelling of 2530492416 in words is "two billion, five hundred thirty million, four hundred ninety-two thousand, four hundred sixteen".