2961839790 has 384 divisors, whose sum is σ = 10486869120. Its totient is φ = 587575296.

The previous prime is 2961839759. The next prime is 2961839791. The reversal of 2961839790 is 979381692.

2961839790 is a `hidden beast` number, since 296 + 183 + 97 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961839791) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2923324 + ... + 2924336.

It is an arithmetic number, because the mean of its divisors is an integer number (27309555).

Almost surely, 2^2961839790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2961839790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243434560).

2961839790 is an abundant number, since it is smaller than the sum of its proper divisors (7525029330).

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

2961839790 is a wasteful number, since it uses less digits than its factorization.

2961839790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 2961839790 is about 54422.7874148320. The cubic root of 2961839790 is about 1436.1082852083.

The spelling of 2961839790 in words is "two billion, nine hundred sixty-one million, eight hundred thirty-nine thousand, seven hundred ninety".