2625070080 has 352 divisors, whose sum is σ = 8960947200. Its totient is φ = 654704640.

The previous prime is 2625070069. The next prime is 2625070081. The reversal of 2625070080 is 800705262.

2625070080 = 328² + 329² + ... + 1992².

It is a super-2 number, since 2×2625070080² = 13781985849822412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2625070081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17617846 + ... + 17617994.

Almost surely, 2^2625070080 is an apocalyptic number.

2625070080 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 2625070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480473600).

2625070080 is an abundant number, since it is smaller than the sum of its proper divisors (6335877120).

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

2625070080 is a wasteful number, since it uses less digits than its factorization.

2625070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2625070080 is about 51235.4377360046. The cubic root of 2625070080 is about 1379.4743639801.

The spelling of 2625070080 in words is "two billion, six hundred twenty-five million, seventy thousand, eighty".