2048362252560 has 240 divisors, whose sum is σ = 7446634728624. Its totient is φ = 501599305728.

The previous prime is 2048362252529. The next prime is 2048362252627. The reversal of 2048362252560 is 652522638402.

2048362252560 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 3 + 62 + 2 + 525 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 411917508864 + 1636444743696 = 641808^2 + 1279236^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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, 1239532 + ... + 2373428.

Almost surely, 2^{2048362252560} is an apocalyptic number.

2048362252560 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 2048362252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723317364312).

2048362252560 is an abundant number, since it is smaller than the sum of its proper divisors (5398272476064).

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

2048362252560 is a wasteful number, since it uses less digits than its factorization.

2048362252560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134122 (or 1134113 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2048362252560 in words is "two trillion, forty-eight billion, three hundred sixty-two million, two hundred fifty-two thousand, five hundred sixty".