2990607200 has 432 divisors, whose sum is σ = 9233409024. Its totient is φ = 940262400.

The previous prime is 2990607157. The next prime is 2990607229. The reversal of 2990607200 is 27060992.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 27949547 + ... + 27949653.

It is an arithmetic number, because the mean of its divisors is an integer number (21373632).

Almost surely, 2^2990607200 is an apocalyptic number.

2990607200 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 2990607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616704512).

2990607200 is an abundant number, since it is smaller than the sum of its proper divisors (6242801824).

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

2990607200 is a wasteful number, since it uses less digits than its factorization.

2990607200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 2990607200 is about 54686.4443898120. Note that the first 3 decimals coincide. The cubic root of 2990607200 is about 1440.7428009285.

The spelling of 2990607200 in words is "two billion, nine hundred ninety million, six hundred seven thousand, two hundred".