2670841264704 has 224 divisors, whose sum is σ = 7415168937984. Its totient is φ = 846813327360.

The previous prime is 2670841264661. The next prime is 2670841264709. The reversal of 2670841264704 is 4074621480762.

It is a happy number.

2670841264704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2670841264704³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2670841264709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698622537 + ... + 698626359.

Almost surely, 2^{2670841264704} is an apocalyptic number.

2670841264704 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 2670841264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707584468992).

2670841264704 is an abundant number, since it is smaller than the sum of its proper divisors (4744327673280).

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

2670841264704 is a wasteful number, since it uses less digits than its factorization.

2670841264704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 2670841264704 in words is "two trillion, six hundred seventy billion, eight hundred forty-one million, two hundred sixty-four thousand, seven hundred four".