2670218271840 has 768 divisors, whose sum is σ = 10014847008768. Its totient is φ = 585451094016.

The previous prime is 2670218271817. The next prime is 2670218271871. The reversal of 2670218271840 is 481728120762.

2670218271840 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-2 number, since 2×2670218271840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2670218271840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1795707577 + ... + 1795709063.

It is an arithmetic number, because the mean of its divisors is an integer number (13040165376).

Almost surely, 2^{2670218271840} is an apocalyptic number.

2670218271840 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 2670218271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007423504384).

2670218271840 is an abundant number, since it is smaller than the sum of its proper divisors (7344628736928).

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

2670218271840 is a wasteful number, since it uses less digits than its factorization.

2670218271840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 2670218271840 in words is "two trillion, six hundred seventy billion, two hundred eighteen million, two hundred seventy-one thousand, eight hundred forty".