2140815360 has 240 divisors, whose sum is σ = 7096545792. Its totient is φ = 550502400.

The previous prime is 2140815349. The next prime is 2140815373. The reversal of 2140815360 is 635180412.

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

It is a super-2 number, since 2×2140815360² = 9166180811223859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7618420 + ... + 7618700.

Almost surely, 2^2140815360 is an apocalyptic number.

2140815360 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 2140815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548272896).

2140815360 is an abundant number, since it is smaller than the sum of its proper divisors (4955730432).

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

2140815360 is an equidigital number, since it uses as much as digits as its factorization.

2140815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2140815360 is about 46268.9459573049. The cubic root of 2140815360 is about 1288.8223854355.

Adding to 2140815360 its reverse (635180412), we get a palindrome (2775995772).

The spelling of 2140815360 in words is "two billion, one hundred forty million, eight hundred fifteen thousand, three hundred sixty".