2072767541424 has 160 divisors (see below), whose sum is σ = 5902786721280. Its totient is φ = 623837085696.

The previous prime is 2072767541413. The next prime is 2072767541479. The reversal of 2072767541424 is 4241457672702.

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, 5631984 + ... + 5988720.

It is an arithmetic number, because the mean of its divisors is an integer number (36892417008).

Almost surely, 2^{2072767541424} is an apocalyptic number.

2072767541424 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 2072767541424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951393360640).

2072767541424 is an abundant number, since it is smaller than the sum of its proper divisors (3830019179856).

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

2072767541424 is a wasteful number, since it uses less digits than its factorization.

2072767541424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357067 (or 357061 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 51.

The spelling of 2072767541424 in words is "two trillion, seventy-two billion, seven hundred sixty-seven million, five hundred forty-one thousand, four hundred twenty-four".