2530314072 has 128 divisors (see below), whose sum is σ = 8257536000. Its totient is φ = 707771520.

The previous prime is 2530314071. The next prime is 2530314077. The reversal of 2530314072 is 2704130352.

2530314072 is a `hidden beast` number, since 253 + 0 + 3 + 1 + 407 + 2 = 666.

It is a super-2 number, since 2×2530314072² = 12804978605922442368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530314071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10072 + ... + 71847.

It is an arithmetic number, because the mean of its divisors is an integer number (64512000).

Almost surely, 2^2530314072 is an apocalyptic number.

2530314072 is a gapful number since it is divisible by the number (22) 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 2530314072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128768000).

2530314072 is an abundant number, since it is smaller than the sum of its proper divisors (5727221928).

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

2530314072 is a wasteful number, since it uses less digits than its factorization.

2530314072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81958 (or 81948 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2530314072 is about 50302.2273065517. The cubic root of 2530314072 is about 1362.6724541357.

The spelling of 2530314072 in words is "two billion, five hundred thirty million, three hundred fourteen thousand, seventy-two".