2961239040 has 352 divisors, whose sum is σ = 10878904320. Its totient is φ = 763084800.

The previous prime is 2961239033. The next prime is 2961239069. The reversal of 2961239040 is 409321692.

2961239040 is a `hidden beast` number, since 2 + 9 + 612 + 39 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2961238986 and 2961239004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4285095 + ... + 4285785.

Almost surely, 2^2961239040 is an apocalyptic number.

2961239040 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 2961239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439452160).

2961239040 is an abundant number, since it is smaller than the sum of its proper divisors (7917665280).

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

2961239040 is a wasteful number, since it uses less digits than its factorization.

2961239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2961239040 is about 54417.2678476235. The cubic root of 2961239040 is about 1436.0111833560.

The spelling of 2961239040 in words is "two billion, nine hundred sixty-one million, two hundred thirty-nine thousand, forty".