2057672430 has 128 divisors (see below), whose sum is σ = 6179328000. Its totient is φ = 482716800.

The previous prime is 2057672369. The next prime is 2057672497. The reversal of 2057672430 is 342767502.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80896 + ... + 103244.

It is an arithmetic number, because the mean of its divisors is an integer number (48276000).

Almost surely, 2^2057672430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057672430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089664000).

2057672430 is an abundant number, since it is smaller than the sum of its proper divisors (4121655570).

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

2057672430 is a wasteful number, since it uses less digits than its factorization.

2057672430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22407 (or 22401 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2057672430 is about 45361.5743774398. The cubic root of 2057672430 is about 1271.9169245317.

The spelling of 2057672430 in words is "two billion, fifty-seven million, six hundred seventy-two thousand, four hundred thirty".