2961919464 has 96 divisors (see below), whose sum is σ = 8814215520. Its totient is φ = 826568064.

The previous prime is 2961919439. The next prime is 2961919517. The reversal of 2961919464 is 4649191692.

It is a super-2 number, since 2×2961919464² = 17545933822444094592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21282 + ... + 79854.

It is an arithmetic number, because the mean of its divisors is an integer number (91814745).

Almost surely, 2^2961919464 is an apocalyptic number.

2961919464 is a gapful number since it is divisible by the number (24) 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 2961919464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407107760).

2961919464 is an abundant number, since it is smaller than the sum of its proper divisors (5852296056).

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

2961919464 is a wasteful number, since it uses less digits than its factorization.

2961919464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58639 (or 58628 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The square root of 2961919464 is about 54423.5194010825. The cubic root of 2961919464 is about 1436.1211622795.

The spelling of 2961919464 in words is "two billion, nine hundred sixty-one million, nine hundred nineteen thousand, four hundred sixty-four".