2057428409400 has 576 divisors, whose sum is σ = 8770040467200. Its totient is φ = 434093437440.

The previous prime is 2057428409389. The next prime is 2057428409417. The reversal of 2057428409400 is 49048247502.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6227167 + ... + 6549233.

It is an arithmetic number, because the mean of its divisors is an integer number (15225764700).

Almost surely, 2^{2057428409400} is an apocalyptic number.

2057428409400 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 2057428409400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385020233600).

2057428409400 is an abundant number, since it is smaller than the sum of its proper divisors (6712612057800).

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

2057428409400 is a wasteful number, since it uses less digits than its factorization.

2057428409400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322125 (or 322097 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2057428409400 in words is "two trillion, fifty-seven billion, four hundred twenty-eight million, four hundred nine thousand, four hundred".