2981618640 has 960 divisors, whose sum is σ = 14106597120. Its totient is φ = 568995840.

The previous prime is 2981618617. The next prime is 2981618663. The reversal of 2981618640 is 468161892.

2981618640 is a `hidden beast` number, since 29 + 8 + 1 + 618 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2981618617) and next prime (2981618663).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15135022 + ... + 15135218.

It is an arithmetic number, because the mean of its divisors is an integer number (14694372).

Almost surely, 2^2981618640 is an apocalyptic number.

2981618640 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 2981618640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053298560).

2981618640 is an abundant number, since it is smaller than the sum of its proper divisors (11124978480).

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

2981618640 is a wasteful number, since it uses less digits than its factorization.

2981618640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2981618640 is about 54604.1998384740. The cubic root of 2981618640 is about 1439.2979216431.

The spelling of 2981618640 in words is "two billion, nine hundred eighty-one million, six hundred eighteen thousand, six hundred forty".