2961294336 has 704 divisors, whose sum is σ = 11885045760. Its totient is φ = 703365120.

The previous prime is 2961294317. The next prime is 2961294353. The reversal of 2961294336 is 6334921692.

2961294336 is a `hidden beast` number, since 2 + 96 + 129 + 433 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2961294291 and 2961294300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27675595 + ... + 27675701.

Almost surely, 2^2961294336 is an apocalyptic number.

2961294336 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 2961294336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942522880).

2961294336 is an abundant number, since it is smaller than the sum of its proper divisors (8923751424).

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

2961294336 is a wasteful number, since it uses less digits than its factorization.

2961294336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 2961294336 is about 54417.7759192711. The cubic root of 2961294336 is about 1436.0201216393.

The spelling of 2961294336 in words is "two billion, nine hundred sixty-one million, two hundred ninety-four thousand, three hundred thirty-six".