2057661424 has 80 divisors (see below), whose sum is σ = 5026553280. Its totient is φ = 794142720.

The previous prime is 2057661421. The next prime is 2057661433. The reversal of 2057661424 is 4241667502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057661421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42462 + ... + 76930.

It is an arithmetic number, because the mean of its divisors is an integer number (62831916).

Almost surely, 2^2057661424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057661424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513276640).

2057661424 is an abundant number, since it is smaller than the sum of its proper divisors (2968891856).

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

2057661424 is a wasteful number, since it uses less digits than its factorization.

2057661424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34538 (or 34532 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 2057661424 is about 45361.4530631460. The cubic root of 2057661424 is about 1271.9146568007.

The spelling of 2057661424 in words is "two billion, fifty-seven million, six hundred sixty-one thousand, four hundred twenty-four".