2985988400 has 60 divisors (see below), whose sum is σ = 7180538184. Its totient is φ = 1193280000.

The previous prime is 2985988399. The next prime is 2985988441. The reversal of 2985988400 is 48895892.

It is a super-2 number, since 2×2985988400² = 17832253449869120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525575 + ... + 531225.

Almost surely, 2^2985988400 is an apocalyptic number.

2985988400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2985988400 is an abundant number, since it is smaller than the sum of its proper divisors (4194549784).

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

2985988400 is a wasteful number, since it uses less digits than its factorization.

2985988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6990 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 53.

The square root of 2985988400 is about 54644.1982281742. The cubic root of 2985988400 is about 1440.0007073042. Note that the first 3 decimals are identical.

The spelling of 2985988400 in words is "two billion, nine hundred eighty-five million, nine hundred eighty-eight thousand, four hundred".