2475016200 has 288 divisors, whose sum is σ = 8746583040. Its totient is φ = 625996800.

The previous prime is 2475016183. The next prime is 2475016217. The reversal of 2475016200 is 26105742.

It is an interprime number because it is at equal distance from previous prime (2475016183) and next prime (2475016217).

It is a super-2 number, since 2×2475016200² = 12251410380524880000, which contains 22 as substring.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7907244 + ... + 7907556.

It is an arithmetic number, because the mean of its divisors is an integer number (30370080).

Almost surely, 2^2475016200 is an apocalyptic number.

2475016200 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 2475016200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373291520).

2475016200 is an abundant number, since it is smaller than the sum of its proper divisors (6271566840).

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

2475016200 is a wasteful number, since it uses less digits than its factorization.

2475016200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2475016200 is about 49749.5346711906. The cubic root of 2475016200 is about 1352.6725657703.

The spelling of 2475016200 in words is "two billion, four hundred seventy-five million, sixteen thousand, two hundred".