2057608000 has 336 divisors, whose sum is σ = 6165890640. Its totient is φ = 677376000.

The previous prime is 2057607977. The next prime is 2057608013. The reversal of 2057608000 is 8067502.

It can be written as a sum of positive squares in 8 ways, for example, as 1329039936 + 728568064 = 36456^2 + 26992^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2057608000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11367910 + ... + 11368090.

It is an arithmetic number, because the mean of its divisors is an integer number (18350865).

Almost surely, 2^2057608000 is an apocalyptic number.

2057608000 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 2057608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082945320).

2057608000 is an abundant number, since it is smaller than the sum of its proper divisors (4108282640).

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

2057608000 is a wasteful number, since it uses less digits than its factorization.

2057608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2057608000 is about 45360.8641892987. The cubic root of 2057608000 is about 1271.9036489390.

The spelling of 2057608000 in words is "two billion, fifty-seven million, six hundred eight thousand".