2361490560 has 768 divisors, whose sum is σ = 9944363520. Its totient is φ = 508723200.

The previous prime is 2361490541. The next prime is 2361490577. The reversal of 2361490560 is 650941632.

It is a happy number.

2361490560 is a `hidden beast` number, since 2 + 3 + 6 + 1 + 4 + 90 + 560 = 666.

It is a super-2 number, since 2×2361490560² = 11153275329938227200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38712930 + ... + 38712990.

It is an arithmetic number, because the mean of its divisors is an integer number (12948390).

Almost surely, 2^2361490560 is an apocalyptic number.

2361490560 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 2361490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972181760).

2361490560 is an abundant number, since it is smaller than the sum of its proper divisors (7582872960).

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

2361490560 is a wasteful number, since it uses less digits than its factorization.

2361490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2361490560 is about 48595.1701303741. The cubic root of 2361490560 is about 1331.6662854711. Note that the first 3 decimals are identical.

The spelling of 2361490560 in words is "two billion, three hundred sixty-one million, four hundred ninety thousand, five hundred sixty".