2122515360 has 576 divisors, whose sum is σ = 8907978240. Its totient is φ = 470292480.

The previous prime is 2122515337. The next prime is 2122515361. The reversal of 2122515360 is 635152212.

It is a happy number.

2122515360 is a `hidden beast` number, since 2 + 122 + 5 + 1 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122515361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7832025 + ... + 7832295.

It is an arithmetic number, because the mean of its divisors is an integer number (15465240).

Almost surely, 2^2122515360 is an apocalyptic number.

2122515360 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 2122515360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453989120).

2122515360 is an abundant number, since it is smaller than the sum of its proper divisors (6785462880).

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

2122515360 is a wasteful number, since it uses less digits than its factorization.

2122515360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2122515360 is about 46070.7646995359. The cubic root of 2122515360 is about 1285.1395246865.

Adding to 2122515360 its reverse (635152212), we get a palindrome (2757667572).

It can be divided in two parts, 21225 and 15360, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 2122515360 in words is "two billion, one hundred twenty-two million, five hundred fifteen thousand, three hundred sixty".