2560011477480 has 192 divisors, whose sum is σ = 8834414668560. Its totient is φ = 640691994624.

The previous prime is 2560011477469. The next prime is 2560011477511. The reversal of 2560011477480 is 847741100652.

2560011477480 is a `hidden beast` number, since 2 + 56 + 0 + 0 + 114 + 7 + 7 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1252067005764 + 1307944471716 = 1118958^2 + 1143654^2 .

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 47 ways as a sum of consecutive naturals, for example, 1567864 + ... + 2752856.

Almost surely, 2^{2560011477480} is an apocalyptic number.

2560011477480 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 2560011477480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417207334280).

2560011477480 is an abundant number, since it is smaller than the sum of its proper divisors (6274403191080).

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

2560011477480 is a wasteful number, since it uses less digits than its factorization.

2560011477480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185380 (or 1185373 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 2560011477480 in words is "two trillion, five hundred sixty billion, eleven million, four hundred seventy-seven thousand, four hundred eighty".