2782510424064 has 1120 divisors, whose sum is σ = 10257435619200. Its totient is φ = 733835427840.

The previous prime is 2782510424053. The next prime is 2782510424081. The reversal of 2782510424064 is 4604240152872.

2782510424064 is a `hidden beast` number, since 2 + 78 + 2 + 510 + 4 + 2 + 4 + 0 + 64 = 666.

It is a super-2 number, since 2×2782510424064² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3618348672 + ... + 3618349440.

It is an arithmetic number, because the mean of its divisors is an integer number (9158424660).

Almost surely, 2^{2782510424064} is an apocalyptic number.

2782510424064 is a gapful number since it is divisible by the number (24) 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 2782510424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128717809600).

2782510424064 is an abundant number, since it is smaller than the sum of its proper divisors (7474925195136).

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

2782510424064 is an equidigital number, since it uses as much as digits as its factorization.

2782510424064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 2782510424064 in words is "two trillion, seven hundred eighty-two billion, five hundred ten million, four hundred twenty-four thousand, sixty-four".