2961380459520 has 1408 divisors, whose sum is σ = 13148256337920. Its totient is φ = 616413265920.

The previous prime is 2961380459507. The next prime is 2961380459533. The reversal of 2961380459520 is 259540831692.

2961380459520 is a `hidden beast` number, since 2 + 9 + 6 + 138 + 0 + 459 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2961380459507) and next prime (2961380459533).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509964457 + ... + 509970263.

It is an arithmetic number, because the mean of its divisors is an integer number (9338250240).

Almost surely, 2^{2961380459520} is an apocalyptic number.

2961380459520 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 2961380459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574128168960).

2961380459520 is an abundant number, since it is smaller than the sum of its proper divisors (10186875878400).

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

2961380459520 is a wasteful number, since it uses less digits than its factorization.

2961380459520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2961380459520 in words is "two trillion, nine hundred sixty-one billion, three hundred eighty million, four hundred fifty-nine thousand, five hundred twenty".