2987690400 has 144 divisors (see below), whose sum is σ = 10805558400. Its totient is φ = 796711680.

The previous prime is 2987690389. The next prime is 2987690411. The reversal of 2987690400 is 40967892.

It is a happy number.

2987690400 is a `hidden beast` number, since 2 + 98 + 76 + 90 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2987690389) and next prime (2987690411).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47560 + ... + 90759.

It is an arithmetic number, because the mean of its divisors is an integer number (75038600).

Almost surely, 2^2987690400 is an apocalyptic number.

2987690400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2987690400 is an abundant number, since it is smaller than the sum of its proper divisors (7817868000).

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

2987690400 is a wasteful number, since it uses less digits than its factorization.

2987690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138348 (or 138329 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2987690400 is about 54659.7694835973. The cubic root of 2987690400 is about 1440.2742533197.

The spelling of 2987690400 in words is "two billion, nine hundred eighty-seven million, six hundred ninety thousand, four hundred".