2649372345360 has 1200 divisors, whose sum is σ = 10662061758480. Its totient is φ = 607282790400.

The previous prime is 2649372345289. The next prime is 2649372345397. The reversal of 2649372345360 is 635432739462.

2649372345360 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 3 + 72 + 34 + 536 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 2192093447184 + 457278898176 = 1480572^2 + 676224^2 .

It is a super-2 number, since 2×2649372345360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2649372345297 and 2649372345306.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1880320336 + ... + 1880321744.

Almost surely, 2^{2649372345360} is an apocalyptic number.

2649372345360 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 2649372345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331030879240).

2649372345360 is an abundant number, since it is smaller than the sum of its proper divisors (8012689413120).

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

2649372345360 is a wasteful number, since it uses less digits than its factorization.

2649372345360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 2649372345360 in words is "two trillion, six hundred forty-nine billion, three hundred seventy-two million, three hundred forty-five thousand, three hundred sixty".