2530876320 has 384 divisors, whose sum is σ = 10218700800. Its totient is φ = 573060096.

The previous prime is 2530876297. The next prime is 2530876321. The reversal of 2530876320 is 236780352.

2530876320 is a `hidden beast` number, since 25 + 308 + 7 + 6 + 320 = 666.

It is a super-3 number, since 3×2530876320³ (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2530876321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3840151 + ... + 3840809.

It is an arithmetic number, because the mean of its divisors is an integer number (26611200).

Almost surely, 2^2530876320 is an apocalyptic number.

2530876320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109350400).

2530876320 is an abundant number, since it is smaller than the sum of its proper divisors (7687824480).

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

2530876320 is a wasteful number, since it uses less digits than its factorization.

2530876320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2530876320 is about 50307.8156949792. The cubic root of 2530876320 is about 1362.7733774597.

The spelling of 2530876320 in words is "two billion, five hundred thirty million, eight hundred seventy-six thousand, three hundred twenty".