2990803200 has 972 divisors, whose sum is σ = 13305679632. Its totient is φ = 584908800.

The previous prime is 2990803199. The next prime is 2990803201. The reversal of 2990803200 is 23080992.

It is an interprime number because it is at equal distance from previous prime (2990803199) and next prime (2990803201).

It is a super-2 number, since 2×2990803200² = 17889807562260480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2990803201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 175929592 + ... + 175929608.

Almost surely, 2^2990803200 is an apocalyptic number.

2990803200 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 2990803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652839816).

2990803200 is an abundant number, since it is smaller than the sum of its proper divisors (10314876432).

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

2990803200 is a wasteful number, since it uses less digits than its factorization.

2990803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2990803200 is about 54688.2363950420. The cubic root of 2990803200 is about 1440.7742749628.

Multiplying 2990803200 by its sum of digits (33), we get a square (98696505600 = 314160²).

2990803200 divided by its sum of digits (33) gives a square (90630400 = 9520²).

The spelling of 2990803200 in words is "two billion, nine hundred ninety million, eight hundred three thousand, two hundred".