2362560 has 112 divisors (see below), whose sum is σ = 7900416. Its totient is φ = 596992.

The previous prime is 2362559. The next prime is 2362571. The reversal of 2362560 is 652632.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2¹⁷ + 3⁹ + 6⁵ + 2¹⁹ + 5³ + 6⁸ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2362560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22027 + ... + 22133.

2^2362560 is an apocalyptic number.

2362560 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 2362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950208).

2362560 is an abundant number, since it is smaller than the sum of its proper divisors (5537856).

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

2362560 is a wasteful number, since it uses less digits than its factorization.

2362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2362560 is about 1537.0621327715. The cubic root of 2362560 is about 133.1867277490.

The spelling of 2362560 in words is "two million, three hundred sixty-two thousand, five hundred sixty".