2557453271040 has 640 divisors, whose sum is σ = 9494553024000. Its totient is φ = 651920670720.

The previous prime is 2557453271039. The next prime is 2557453271119. The reversal of 2557453271040 is 401723547552.

2557453271040 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 4 + 532 + 7 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1627913455 + ... + 1627915025.

It is an arithmetic number, because the mean of its divisors is an integer number (14835239100).

Almost surely, 2^{2557453271040} is an apocalyptic number.

2557453271040 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 2557453271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747276512000).

2557453271040 is an abundant number, since it is smaller than the sum of its proper divisors (6937099752960).

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

2557453271040 is an frugal number, since it uses more digits than its factorization.

2557453271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 2557453271040 in words is "two trillion, five hundred fifty-seven billion, four hundred fifty-three million, two hundred seventy-one thousand, forty".