2990649600 has 378 divisors, whose sum is σ = 11115724746. Its totient is φ = 796262400.

The previous prime is 2990649569. The next prime is 2990649617. The reversal of 2990649600 is 69460992.

It can be written as a sum of positive squares in 3 ways, for example, as 649638144 + 2341011456 = 25488^2 + 48384^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4665280 + ... + 4665920.

Almost surely, 2^2990649600 is an apocalyptic number.

2990649600 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 2990649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557862373).

2990649600 is an abundant number, since it is smaller than the sum of its proper divisors (8125075146).

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

2990649600 is an frugal number, since it uses more digits than its factorization.

2990649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 2990649600 is about 54686.8320530637. The cubic root of 2990649600 is about 1440.7496097137.

The spelling of 2990649600 in words is "two billion, nine hundred ninety million, six hundred forty-nine thousand, six hundred".