2057645749000 has 64 divisors (see below), whose sum is σ = 4817854229760. Its totient is φ = 822551774400.

The previous prime is 2057645748997. The next prime is 2057645749009. The reversal of 2057645749000 is 9475467502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2057645749009) 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, 994657 + ... + 2259343.

It is an arithmetic number, because the mean of its divisors is an integer number (75278972340).

Almost surely, 2^{2057645749000} is an apocalyptic number.

2057645749000 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 2057645749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408927114880).

2057645749000 is an abundant number, since it is smaller than the sum of its proper divisors (2760208480760).

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

2057645749000 is a wasteful number, since it uses less digits than its factorization.

2057645749000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266335 (or 1266321 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 2057645749000 in words is "two trillion, fifty-seven billion, six hundred forty-five million, seven hundred forty-nine thousand".