2000257304040 has 384 divisors, whose sum is σ = 6621191216640. Its totient is φ = 523638079488.

The previous prime is 2000257304027. The next prime is 2000257304083. The reversal of 2000257304040 is 404037520002.

2000257304040 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 257 + 3 + 0 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2000257303995 and 2000257304013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3976654429 + ... + 3976654931.

It is an arithmetic number, because the mean of its divisors is an integer number (17242685460).

Almost surely, 2^{2000257304040} is an apocalyptic number.

2000257304040 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 2000257304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310595608320).

2000257304040 is an abundant number, since it is smaller than the sum of its proper divisors (4620933912600).

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

2000257304040 is a wasteful number, since it uses less digits than its factorization.

2000257304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 2000257304040 in words is "two trillion, two hundred fifty-seven million, three hundred four thousand, forty".