2057334400000 has 528 divisors, whose sum is σ = 5654731449024. Its totient is φ = 741888000000.

The previous prime is 2057334399943. The next prime is 2057334400003. The reversal of 2057334400000 is 44337502.

It is not an unprimeable number, because it can be changed into a prime (2057334400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7427199862 + ... + 7427200138.

Almost surely, 2^{2057334400000} is an apocalyptic number.

2057334400000 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 2057334400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827365724512).

2057334400000 is an abundant number, since it is smaller than the sum of its proper divisors (3597397049024).

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

2057334400000 is an equidigital number, since it uses as much as digits as its factorization.

2057334400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

Adding to 2057334400000 its reverse (44337502), we get a palindrome (2057378737502).

The spelling of 2057334400000 in words is "two trillion, fifty-seven billion, three hundred thirty-four million, four hundred thousand".