2986292400 has 960 divisors, whose sum is σ = 13019166720. Its totient is φ = 567705600.

The previous prime is 2986292399. The next prime is 2986292411. The reversal of 2986292400 is 42926892.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72836380 + ... + 72836420.

It is an arithmetic number, because the mean of its divisors is an integer number (13561632).

Almost surely, 2^2986292400 is an apocalyptic number.

2986292400 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 2986292400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509583360).

2986292400 is an abundant number, since it is smaller than the sum of its proper divisors (10032874320).

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

2986292400 is a wasteful number, since it uses less digits than its factorization.

2986292400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2986292400 is about 54646.9797884567. The cubic root of 2986292400 is about 1440.0495739106.

The spelling of 2986292400 in words is "two billion, nine hundred eighty-six million, two hundred ninety-two thousand, four hundred".