2116251360 has 240 divisors, whose sum is σ = 7507984176. Its totient is φ = 561364992.

The previous prime is 2116251323. The next prime is 2116251433. The reversal of 2116251360 is 631526112.

2116251360 is a `hidden beast` number, since 2 + 1 + 1 + 625 + 1 + 36 + 0 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3667392 + ... + 3667968.

Almost surely, 2^2116251360 is an apocalyptic number.

2116251360 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 2116251360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753992088).

2116251360 is an abundant number, since it is smaller than the sum of its proper divisors (5391732816).

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

2116251360 is a wasteful number, since it uses less digits than its factorization.

2116251360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2116251360 is about 46002.7320927790. The cubic root of 2116251360 is about 1283.8740377787.

Adding to 2116251360 its reverse (631526112), we get a palindrome (2747777472).

The spelling of 2116251360 in words is "two billion, one hundred sixteen million, two hundred fifty-one thousand, three hundred sixty".