2670761840 has 160 divisors (see below), whose sum is σ = 6710999040. Its totient is φ = 986028032.

The previous prime is 2670761831. The next prime is 2670761851. The reversal of 2670761840 is 481670762.

2670761840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7696547 + ... + 7696893.

It is an arithmetic number, because the mean of its divisors is an integer number (41943744).

Almost surely, 2^2670761840 is an apocalyptic number.

2670761840 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 2670761840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355499520).

2670761840 is an abundant number, since it is smaller than the sum of its proper divisors (4040237200).

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

2670761840 is a wasteful number, since it uses less digits than its factorization.

2670761840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 2670761840 is about 51679.4140833659. The cubic root of 2670761840 is about 1387.4320442870.

The spelling of 2670761840 in words is "two billion, six hundred seventy million, seven hundred sixty-one thousand, eight hundred forty".