2988057600 has 660 divisors, whose sum is σ = 12162422448. Its totient is φ = 718848000.

The previous prime is 2988057551. The next prime is 2988057607. The reversal of 2988057600 is 67508892.

It is a tau number, because it is divible by the number of its divisors (660).

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

It is not an unprimeable number, because it can be changed into a prime (2988057607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22809535 + ... + 22809665.

Almost surely, 2^2988057600 is an apocalyptic number.

2988057600 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 2988057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081211224).

2988057600 is an abundant number, since it is smaller than the sum of its proper divisors (9174364848).

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

2988057600 is a wasteful number, since it uses less digits than its factorization.

2988057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2988057600 is about 54663.1283407746. The cubic root of 2988057600 is about 1440.3332562026. Note that the first 3 decimals are identical.

The spelling of 2988057600 in words is "two billion, nine hundred eighty-eight million, fifty-seven thousand, six hundred".