2638040296320 has 2560 divisors, whose sum is σ = 11884137471360. Its totient is φ = 552393768960.

The previous prime is 2638040296313. The next prime is 2638040296343. The reversal of 2638040296320 is 236920408362.

It is a happy number.

2638040296320 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 0 + 4 + 0 + 2 + 9 + 632 + 0 = 666.

It is a super-2 number, since 2×2638040296320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15248787754 + ... + 15248787926.

Almost surely, 2^{2638040296320} is an apocalyptic number.

2638040296320 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 2638040296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942068735680).

2638040296320 is an abundant number, since it is smaller than the sum of its proper divisors (9246097175040).

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

2638040296320 is a wasteful number, since it uses less digits than its factorization.

2638040296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2638040296320 in words is "two trillion, six hundred thirty-eight billion, forty million, two hundred ninety-six thousand, three hundred twenty".