2638975023360 has 1728 divisors, whose sum is σ = 10829539768320. Its totient is φ = 610574008320.

The previous prime is 2638975023359. The next prime is 2638975023401. The reversal of 2638975023360 is 633205798362.

It is a happy number.

2638975023360 is a `hidden beast` number, since 26 + 3 + 89 + 7 + 502 + 3 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 2638975023297 and 2638975023306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4637917156 + ... + 4637917724.

Almost surely, 2^{2638975023360} is an apocalyptic number.

2638975023360 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 2638975023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414769884160).

2638975023360 is an abundant number, since it is smaller than the sum of its proper divisors (8190564744960).

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

2638975023360 is a wasteful number, since it uses less digits than its factorization.

2638975023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 2638975023360 in words is "two trillion, six hundred thirty-eight billion, nine hundred seventy-five million, twenty-three thousand, three hundred sixty".