2961418096 has 240 divisors, whose sum is σ = 7551897600. Its totient is φ = 1122750720.

The previous prime is 2961418087. The next prime is 2961418111. The reversal of 2961418096 is 6908141692.

It is a happy number.

It is a super-3 number, since 3×2961418096³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28751581 + ... + 28751683.

It is an arithmetic number, because the mean of its divisors is an integer number (31466240).

Almost surely, 2^2961418096 is an apocalyptic number.

2961418096 is a gapful number since it is divisible by the number (26) 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 2961418096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775948800).

2961418096 is an abundant number, since it is smaller than the sum of its proper divisors (4590479504).

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

2961418096 is a wasteful number, since it uses less digits than its factorization.

2961418096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 2961418096 is about 54418.9130358187. The cubic root of 2961418096 is about 1436.0401263348.

The spelling of 2961418096 in words is "two billion, nine hundred sixty-one million, four hundred eighteen thousand, ninety-six".