2987424000 has 864 divisors, whose sum is σ = 12535181568. Its totient is φ = 675840000.

The previous prime is 2987423969. The next prime is 2987424007. The reversal of 2987424000 is 4247892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2987424007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72863980 + ... + 72864020.

It is an arithmetic number, because the mean of its divisors is an integer number (14508312).

Almost surely, 2^2987424000 is an apocalyptic number.

2987424000 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 2987424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267590784).

2987424000 is an abundant number, since it is smaller than the sum of its proper divisors (9547757568).

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

2987424000 is a wasteful number, since it uses less digits than its factorization.

2987424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2987424000 is about 54657.3325364493. The cubic root of 2987424000 is about 1440.2314442806.

The spelling of 2987424000 in words is "two billion, nine hundred eighty-seven million, four hundred twenty-four thousand".