2261505520512 has 1152 divisors, whose sum is σ = 8018264610720. Its totient is φ = 609406156800.

The previous prime is 2261505520501. The next prime is 2261505520529. The reversal of 2261505520512 is 2150255051622.

2261505520512 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 50 + 552 + 0 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2261505520512² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11717645088 + ... + 11717645280.

Almost surely, 2^{2261505520512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261505520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009132305360).

2261505520512 is an abundant number, since it is smaller than the sum of its proper divisors (5756759090208).

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

2261505520512 is a wasteful number, since it uses less digits than its factorization.

2261505520512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 2261505520512 in words is "two trillion, two hundred sixty-one billion, five hundred five million, five hundred twenty thousand, five hundred twelve".