2870400400 has 90 divisors (see below), whose sum is σ = 8022091650. Its totient is φ = 984130560.

The previous prime is 2870400397. The next prime is 2870400439. The reversal of 2870400400 is 40040782.

It can be written as a sum of positive squares in 3 ways, for example, as 366799104 + 2503601296 = 19152^2 + 50036^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53625 + ... + 92824.

Almost surely, 2^2870400400 is an apocalyptic number.

2870400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2870400400 is an abundant number, since it is smaller than the sum of its proper divisors (5151691250).

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

2870400400 is a wasteful number, since it uses less digits than its factorization.

2870400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146481 (or 146463 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2870400400 is about 53576.1178138170. The cubic root of 2870400400 is about 1421.1747865920.

The spelling of 2870400400 in words is "two billion, eight hundred seventy million, four hundred thousand, four hundred".