2057409444420 has 288 divisors, whose sum is σ = 7296171966720. Its totient is φ = 464186004480.

The previous prime is 2057409444403. The next prime is 2057409444421. The reversal of 2057409444420 is 244449047502.

It is a super-2 number, since 2×2057409444420² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2057409444421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1074466 + ... + 2295494.

It is an arithmetic number, because the mean of its divisors is an integer number (25333930440).

Almost surely, 2^{2057409444420} is an apocalyptic number.

2057409444420 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 2057409444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648085983360).

2057409444420 is an abundant number, since it is smaller than the sum of its proper divisors (5238762522300).

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

2057409444420 is a wasteful number, since it uses less digits than its factorization.

2057409444420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221115 (or 1221110 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 2057409444420 in words is "two trillion, fifty-seven billion, four hundred nine million, four hundred forty-four thousand, four hundred twenty".