2781537874560 has 512 divisors, whose sum is σ = 10497890592000. Its totient is φ = 702697586688.

The previous prime is 2781537874559. The next prime is 2781537874561. The reversal of 2781537874560 is 654787351872.

It is a happy number.

2781537874560 is a `hidden beast` number, since 2 + 78 + 1 + 5 + 37 + 87 + 456 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2781537874559) and next prime (2781537874561).

It is a super-2 number, since 2×2781537874560² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2781537874561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26541624 + ... + 26646216.

Almost surely, 2^{2781537874560} is an apocalyptic number.

2781537874560 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 2781537874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248945296000).

2781537874560 is an abundant number, since it is smaller than the sum of its proper divisors (7716352717440).

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

2781537874560 is an equidigital number, since it uses as much as digits as its factorization.

2781537874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104652 (or 104622 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 2781537874560 in words is "two trillion, seven hundred eighty-one billion, five hundred thirty-seven million, eight hundred seventy-four thousand, five hundred sixty".