2475068400 has 450 divisors, whose sum is σ = 10339706520. Its totient is φ = 565367040.

The previous prime is 2475068399. The next prime is 2475068429. The reversal of 2475068400 is 48605742.

2475068400 is a `hidden beast` number, since 247 + 5 + 0 + 6 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×2475068400² = 12251927169357120000, which contains 22 as substring.

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 89 ways as a sum of consecutive naturals, for example, 1586821 + ... + 1588379.

Almost surely, 2^2475068400 is an apocalyptic number.

2475068400 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 2475068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169853260).

2475068400 is an abundant number, since it is smaller than the sum of its proper divisors (7864638120).

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

2475068400 is a wasteful number, since it uses less digits than its factorization.

2475068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2475068400 is about 49750.0592964471. The cubic root of 2475068400 is about 1352.6820753393.

The spelling of 2475068400 in words is "two billion, four hundred seventy-five million, sixty-eight thousand, four hundred".