2057301400 has 192 divisors, whose sum is σ = 6026042880. Its totient is φ = 634521600.

The previous prime is 2057301353. The next prime is 2057301409. The reversal of 2057301400 is 41037502.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057301409) 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, 1585552 + ... + 1586848.

It is an arithmetic number, because the mean of its divisors is an integer number (31385640).

Almost surely, 2^2057301400 is an apocalyptic number.

2057301400 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 2057301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013021440).

2057301400 is an abundant number, since it is smaller than the sum of its proper divisors (3968741480).

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

2057301400 is a wasteful number, since it uses less digits than its factorization.

2057301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 2057301400 is about 45357.4844981509. The cubic root of 2057301400 is about 1271.8404712055.

Adding to 2057301400 its reverse (41037502), we get a palindrome (2098338902).

The spelling of 2057301400 in words is "two billion, fifty-seven million, three hundred one thousand, four hundred".