2791835242560 has 2016 divisors, whose sum is σ = 12589800088320. Its totient is φ = 583664320512.

The previous prime is 2791835242531. The next prime is 2791835242561. The reversal of 2791835242560 is 652425381972.

2791835242560 is a `hidden beast` number, since 2 + 7 + 9 + 1 + 8 + 35 + 2 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 = 2791835242497 and 2791835242506.

It is not an unprimeable number, because it can be changed into a prime (2791835242561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7776699661 + ... + 7776700019.

It is an arithmetic number, because the mean of its divisors is an integer number (6244940520).

It is a 1-persistent number, because it is pandigital, but 2⋅2791835242560 = 5583670485120 is not.

Almost surely, 2^{2791835242560} is an apocalyptic number.

2791835242560 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 2791835242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294900044160).

2791835242560 is an abundant number, since it is smaller than the sum of its proper divisors (9797964845760).

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

2791835242560 is a wasteful number, since it uses less digits than its factorization.

2791835242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2791835242560 in words is "two trillion, seven hundred ninety-one billion, eight hundred thirty-five million, two hundred forty-two thousand, five hundred sixty".