2512235520 has 352 divisors, whose sum is σ = 9462052800. Its totient is φ = 629932032.

The previous prime is 2512235507. The next prime is 2512235533. The reversal of 2512235520 is 255322152.

It is an interprime number because it is at equal distance from previous prime (2512235507) and next prime (2512235533).

It is a super-2 number, since 2×2512235520² = 12622654615899340800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349546 + ... + 2350614.

Almost surely, 2^2512235520 is an apocalyptic number.

2512235520 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 2512235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731026400).

2512235520 is an abundant number, since it is smaller than the sum of its proper divisors (6949817280).

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

2512235520 is a wasteful number, since it uses less digits than its factorization.

2512235520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2512235520 is about 50122.2058572845. The cubic root of 2512235520 is about 1359.4193599793.

Adding to 2512235520 its reverse (255322152), we get a palindrome (2767557672).

The spelling of 2512235520 in words is "two billion, five hundred twelve million, two hundred thirty-five thousand, five hundred twenty".