2940007108608 has 624 divisors, whose sum is σ = 9332122415616. Its totient is φ = 887991828480.

The previous prime is 2940007108607. The next prime is 2940007108627. The reversal of 2940007108608 is 8068017000492.

2940007108608 is a `hidden beast` number, since 29 + 4 + 0 + 0 + 0 + 7 + 10 + 8 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2940007108603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2388307353 + ... + 2388308583.

It is an arithmetic number, because the mean of its divisors is an integer number (14955324384).

Almost surely, 2^{2940007108608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940007108608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666061207808).

2940007108608 is an abundant number, since it is smaller than the sum of its proper divisors (6392115307008).

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

2940007108608 is a wasteful number, since it uses less digits than its factorization.

2940007108608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2940007108608 in words is "two trillion, nine hundred forty billion, seven million, one hundred eight thousand, six hundred eight".