2296013142960 has 480 divisors, whose sum is σ = 8049713660352. Its totient is φ = 586001940480.

The previous prime is 2296013142833. The next prime is 2296013142979. The reversal of 2296013142960 is 692413106922.

2296013142960 is a `hidden beast` number, since 2 + 2 + 9 + 601 + 3 + 14 + 29 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 508302622 + ... + 508307138.

Almost surely, 2^{2296013142960} is an apocalyptic number.

2296013142960 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 2296013142960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024856830176).

2296013142960 is an abundant number, since it is smaller than the sum of its proper divisors (5753700517392).

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

2296013142960 is a wasteful number, since it uses less digits than its factorization.

2296013142960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 2296013142960 in words is "two trillion, two hundred ninety-six billion, thirteen million, one hundred forty-two thousand, nine hundred sixty".