2975000400 has 360 divisors, whose sum is σ = 10835528704. Its totient is φ = 783820800.

The previous prime is 2975000383. The next prime is 2975000401. The reversal of 2975000400 is 40005792.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2975000401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12344280 + ... + 12344520.

Almost surely, 2^2975000400 is an apocalyptic number.

2975000400 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 2975000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417764352).

2975000400 is an abundant number, since it is smaller than the sum of its proper divisors (7860528304).

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

2975000400 is a wasteful number, since it uses less digits than its factorization.

2975000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2975000400 is about 54543.5642399724. The cubic root of 2975000400 is about 1438.2322056820.

The spelling of 2975000400 in words is "two billion, nine hundred seventy-five million, four hundred", and thus it is an aban number.