2560061047950 has 1344 divisors, whose sum is σ = 9068196741120. Its totient is φ = 524040192000.

The previous prime is 2560061047931. The next prime is 2560061047969. The reversal of 2560061047950 is 597401600652.

2560061047950 is a `hidden beast` number, since 2 + 560 + 0 + 6 + 10 + 4 + 79 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2560061047931) and next prime (2560061047969).

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

It is a junction number, because it is equal to n+sod(n) for n = 2560061047896 and 2560061047905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 10622659830 + ... + 10622660070.

Almost surely, 2^{2560061047950} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560061047950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534098370560).

2560061047950 is an abundant number, since it is smaller than the sum of its proper divisors (6508135693170).

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

2560061047950 is a wasteful number, since it uses less digits than its factorization.

2560061047950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 2560061047950 in words is "two trillion, five hundred sixty billion, sixty-one million, forty-seven thousand, nine hundred fifty".