2057295240 has 768 divisors, whose sum is σ = 9330854400. Its totient is φ = 392325120.

The previous prime is 2057295221. The next prime is 2057295241. The reversal of 2057295240 is 425927502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2057295195 and 2057295204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057295241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11891794 + ... + 11891966.

It is an arithmetic number, because the mean of its divisors is an integer number (12149550).

Almost surely, 2^2057295240 is an apocalyptic number.

2057295240 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 2057295240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665427200).

2057295240 is an abundant number, since it is smaller than the sum of its proper divisors (7273559160).

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

2057295240 is a wasteful number, since it uses less digits than its factorization.

2057295240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2057295240 is about 45357.4165930997. The cubic root of 2057295240 is about 1271.8392018169.

The spelling of 2057295240 in words is "two billion, fifty-seven million, two hundred ninety-five thousand, two hundred forty".