2987008400 has 60 divisors (see below), whose sum is σ = 7201918512. Its totient is φ = 1190536320.

The previous prime is 2987008369. The next prime is 2987008403. The reversal of 2987008400 is 48007892.

It is not an unprimeable number, because it can be changed into a prime (2987008403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100007 + ... + 126393.

Almost surely, 2^2987008400 is an apocalyptic number.

2987008400 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 2987008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600959256).

2987008400 is an abundant number, since it is smaller than the sum of its proper divisors (4214910112).

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

2987008400 is a wasteful number, since it uses less digits than its factorization.

2987008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26688 (or 26677 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 2987008400 is about 54653.5305355473. The cubic root of 2987008400 is about 1440.1646545260.

The spelling of 2987008400 in words is "two billion, nine hundred eighty-seven million, eight thousand, four hundred".