2981318400 has 486 divisors, whose sum is σ = 11224172232. Its totient is φ = 783820800.

The previous prime is 2981318387. The next prime is 2981318419. The reversal of 2981318400 is 48131892.

It is a tau number, because it is divible by the number of its divisors (486).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41990365 + ... + 41990435.

Almost surely, 2^2981318400 is an apocalyptic number.

2981318400 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 2981318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612086116).

2981318400 is an abundant number, since it is smaller than the sum of its proper divisors (8242853832).

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

2981318400 is an frugal number, since it uses more digits than its factorization.

2981318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2981318400 is about 54601.4505301828. The cubic root of 2981318400 is about 1439.2496090356.

The spelling of 2981318400 in words is "two billion, nine hundred eighty-one million, three hundred eighteen thousand, four hundred".