2940519648 has 384 divisors, whose sum is σ = 9680186880. Its totient is φ = 769720320.

The previous prime is 2940519587. The next prime is 2940519677. The reversal of 2940519648 is 8469150492.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2940519597 and 2940519606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12620140 + ... + 12620372.

It is an arithmetic number, because the mean of its divisors is an integer number (25208820).

Almost surely, 2^2940519648 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 2940519648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840093440).

2940519648 is an abundant number, since it is smaller than the sum of its proper divisors (6739667232).

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

2940519648 is a wasteful number, since it uses less digits than its factorization.

2940519648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 2940519648 is about 54226.5585114896. The cubic root of 2940519648 is about 1432.6541490809.

The spelling of 2940519648 in words is "two billion, nine hundred forty million, five hundred nineteen thousand, six hundred forty-eight".