2010674824704 has 1600 divisors, whose sum is σ = 7686033062400. Its totient is φ = 519899627520.

The previous prime is 2010674824681. The next prime is 2010674824723. The reversal of 2010674824704 is 4074284760102.

2010674824704 is a `hidden beast` number, since 2 + 0 + 106 + 74 + 8 + 2 + 470 + 4 = 666.

It is a super-2 number, since 2×2010674824704² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2010674824704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15348662719 + ... + 15348662849.

It is an arithmetic number, because the mean of its divisors is an integer number (4803770664).

Almost surely, 2^{2010674824704} is an apocalyptic number.

2010674824704 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 2010674824704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843016531200).

2010674824704 is an abundant number, since it is smaller than the sum of its proper divisors (5675358237696).

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

2010674824704 is an equidigital number, since it uses as much as digits as its factorization.

2010674824704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 2010674824704 in words is "two trillion, ten billion, six hundred seventy-four million, eight hundred twenty-four thousand, seven hundred four".