2960133120 has 1056 divisors, whose sum is σ = 13441420800. Its totient is φ = 613122048.

The previous prime is 2960133083. The next prime is 2960133131. The reversal of 2960133120 is 213310692.

2960133120 is a `hidden beast` number, since 2 + 9 + 601 + 3 + 31 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128701429 + ... + 128701451.

Almost surely, 2^2960133120 is an apocalyptic number.

2960133120 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 2960133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720710400).

2960133120 is an abundant number, since it is smaller than the sum of its proper divisors (10481287680).

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

2960133120 is a wasteful number, since it uses less digits than its factorization.

2960133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2960133120 is about 54407.1054183183. The cubic root of 2960133120 is about 1435.8323943188.

The spelling of 2960133120 in words is "two billion, nine hundred sixty million, one hundred thirty-three thousand, one hundred twenty".