2107274400 has 864 divisors, whose sum is σ = 9725002560. Its totient is φ = 435456000.

The previous prime is 2107274399. The next prime is 2107274413. The reversal of 2107274400 is 44727012.

It is a happy number.

2107274400 is a `hidden beast` number, since 210 + 7 + 2 + 7 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11642310 + ... + 11642490.

It is an arithmetic number, because the mean of its divisors is an integer number (11255790).

Almost surely, 2^2107274400 is an apocalyptic number.

2107274400 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 2107274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862501280).

2107274400 is an abundant number, since it is smaller than the sum of its proper divisors (7617728160).

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

2107274400 is a wasteful number, since it uses less digits than its factorization.

2107274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 2107274400 is about 45905.0585447835. The cubic root of 2107274400 is about 1282.0561030027.

The spelling of 2107274400 in words is "two billion, one hundred seven million, two hundred seventy-four thousand, four hundred".