2961351360 has 224 divisors, whose sum is σ = 11397081600. Its totient is φ = 717880320.

The previous prime is 2961351359. The next prime is 2961351383. The reversal of 2961351360 is 631531692.

2961351360 is a `hidden beast` number, since 2 + 9 + 613 + 5 + 1 + 36 + 0 = 666.

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

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, 79461 + ... + 110619.

Almost surely, 2^2961351360 is an apocalyptic number.

2961351360 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 2961351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5698540800).

2961351360 is an abundant number, since it is smaller than the sum of its proper divisors (8435730240).

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

2961351360 is a wasteful number, since it uses less digits than its factorization.

2961351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31196 (or 31180 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2961351360 is about 54418.2998631894. The cubic root of 2961351360 is about 1436.0293391274.

The spelling of 2961351360 in words is "two billion, nine hundred sixty-one million, three hundred fifty-one thousand, three hundred sixty".