2959651940 has 72 divisors (see below), whose sum is σ = 7282356480. Its totient is φ = 1007391168.

The previous prime is 2959651909. The next prime is 2959651943. The reversal of 2959651940 is 491569592.

It is not an unprimeable number, because it can be changed into a prime (2959651943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125357 + ... + 147083.

It is an arithmetic number, because the mean of its divisors is an integer number (101143840).

Almost surely, 2^2959651940 is an apocalyptic number.

2959651940 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 2959651940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641178240).

2959651940 is an abundant number, since it is smaller than the sum of its proper divisors (4322704540).

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

2959651940 is a wasteful number, since it uses less digits than its factorization.

2959651940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21889 (or 21880 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 50.

The square root of 2959651940 is about 54402.6832058861. The cubic root of 2959651940 is about 1435.7545902424.

The spelling of 2959651940 in words is "two billion, nine hundred fifty-nine million, six hundred fifty-one thousand, nine hundred forty".