2261625600 has 648 divisors, whose sum is σ = 8766282672. Its totient is φ = 511180800.

The previous prime is 2261625599. The next prime is 2261625643. The reversal of 2261625600 is 65261622.

It is a super-2 number, since 2×2261625600² = 10229900709150720000, which contains 22 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 55161580 + ... + 55161620.

It is an arithmetic number, because the mean of its divisors is an integer number (13528214).

Almost surely, 2^2261625600 is an apocalyptic number.

2261625600 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 2261625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383141336).

2261625600 is an abundant number, since it is smaller than the sum of its proper divisors (6504657072).

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

2261625600 is a wasteful number, since it uses less digits than its factorization.

2261625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2261625600 is about 47556.5515991225. The cubic root of 2261625600 is about 1312.6236872098.

The spelling of 2261625600 in words is "two billion, two hundred sixty-one million, six hundred twenty-five thousand, six hundred".