2818745415360 has 504 divisors, whose sum is σ = 11316875680656. Its totient is φ = 642076323840.

The previous prime is 2818745415341. The next prime is 2818745415361. The reversal of 2818745415360 is 635145478182.

It is a happy number.

2818745415360 is a `hidden beast` number, since 2 + 8 + 1 + 87 + 454 + 1 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2818745415360² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2818745415297 and 2818745415306.

It is not an unprimeable number, because it can be changed into a prime (2818745415361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41314075 + ... + 41382245.

It is an arithmetic number, because the mean of its divisors is an integer number (22454118414).

Almost surely, 2^{2818745415360} is an apocalyptic number.

2818745415360 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 2818745415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5658437840328).

2818745415360 is an abundant number, since it is smaller than the sum of its proper divisors (8498130265296).

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

2818745415360 is a wasteful number, since it uses less digits than its factorization.

2818745415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68501 (or 68481 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 2818745415360 in words is "two trillion, eight hundred eighteen billion, seven hundred forty-five million, four hundred fifteen thousand, three hundred sixty".