2959139040 has 384 divisors, whose sum is σ = 11532326400. Its totient is φ = 627056640.

The previous prime is 2959139009. The next prime is 2959139077. The reversal of 2959139040 is 409319592.

It is a junction number, because it is equal to n+sod(n) for n = 2959138983 and 2959139001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1303026 + ... + 1305294.

It is an arithmetic number, because the mean of its divisors is an integer number (30032100).

Almost surely, 2^2959139040 is an apocalyptic number.

2959139040 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 2959139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766163200).

2959139040 is an abundant number, since it is smaller than the sum of its proper divisors (8573187360).

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

2959139040 is a wasteful number, since it uses less digits than its factorization.

2959139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 2959139040 is about 54397.9690797368. The cubic root of 2959139040 is about 1435.6716479362.

The spelling of 2959139040 in words is "two billion, nine hundred fifty-nine million, one hundred thirty-nine thousand, forty".