2265625080 has 384 divisors, whose sum is σ = 8067870720. Its totient is φ = 571069440.

The previous prime is 2265625069. The next prime is 2265625093. The reversal of 2265625080 is 805265622.

2265625080 is a `hidden beast` number, since 2 + 26 + 5 + 625 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21996309 + ... + 21996411.

It is an arithmetic number, because the mean of its divisors is an integer number (21010080).

Almost surely, 2^2265625080 is an apocalyptic number.

2265625080 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 2265625080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033935360).

2265625080 is an abundant number, since it is smaller than the sum of its proper divisors (5802245640).

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

2265625080 is a wasteful number, since it uses less digits than its factorization.

2265625080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2265625080 is about 47598.5827520106. The cubic root of 2265625080 is about 1313.3969835821.

The spelling of 2265625080 in words is "two billion, two hundred sixty-five million, six hundred twenty-five thousand, eighty".