2964320040 has 256 divisors, whose sum is σ = 10189670400. Its totient is φ = 682880000.

The previous prime is 2964320011. The next prime is 2964320089. The reversal of 2964320040 is 400234692.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7620166 + ... + 7620554.

It is an arithmetic number, because the mean of its divisors is an integer number (39803400).

Almost surely, 2^2964320040 is an apocalyptic number.

2964320040 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 2964320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

2964320040 is an abundant number, since it is smaller than the sum of its proper divisors (7225350360).

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

2964320040 is a wasteful number, since it uses less digits than its factorization.

2964320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2964320040 is about 54445.5695167201. The cubic root of 2964320040 is about 1436.5090399238.

The spelling of 2964320040 in words is "two billion, nine hundred sixty-four million, three hundred twenty thousand, forty".