2826737040960 has 1848 divisors, whose sum is σ = 12187548432576. Its totient is φ = 622196951040.

The previous prime is 2826737040937. The next prime is 2826737040961. The reversal of 2826737040960 is 690407376282.

2826737040960 is a `hidden beast` number, since 2 + 8 + 267 + 370 + 4 + 0 + 9 + 6 + 0 = 666.

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 = 2826737040897 and 2826737040906.

It is not an unprimeable number, because it can be changed into a prime (2826737040961) by changing a digit.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 39813197725 + ... + 39813197795.

Almost surely, 2^{2826737040960} is an apocalyptic number.

2826737040960 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 2826737040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093774216288).

2826737040960 is an abundant number, since it is smaller than the sum of its proper divisors (9360811391616).

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

2826737040960 is an frugal number, since it uses more digits than its factorization.

2826737040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2826737040960 in words is "two trillion, eight hundred twenty-six billion, seven hundred thirty-seven million, forty thousand, nine hundred sixty".