2996061600 has 288 divisors, whose sum is σ = 11234280960. Its totient is φ = 679357440.

The previous prime is 2996061587. The next prime is 2996061611. The reversal of 2996061600 is 61606992.

It is a super-2 number, since 2×2996061600² = 17952770221989120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2334559 + ... + 2335841.

It is an arithmetic number, because the mean of its divisors is an integer number (39007920).

Almost surely, 2^2996061600 is an apocalyptic number.

2996061600 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 2996061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617140480).

2996061600 is an abundant number, since it is smaller than the sum of its proper divisors (8238219360).

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

2996061600 is a wasteful number, since it uses less digits than its factorization.

2996061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 2996061600 is about 54736.2914344770. The cubic root of 2996061600 is about 1441.6181655120.

The spelling of 2996061600 in words is "two billion, nine hundred ninety-six million, sixty-one thousand, six hundred".