2457127040 has 32 divisors (see below), whose sum is σ = 5874070860. Its totient is φ = 982850560.

The previous prime is 2457127021. The next prime is 2457127067. The reversal of 2457127040 is 407217542.

It can be written as a sum of positive squares in 2 ways, for example, as 1972070464 + 485056576 = 44408^2 + 22024^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2457126988 and 2457127006.

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 3 ways as a sum of consecutive naturals, for example, 1918991 + ... + 1920270.

Almost surely, 2^2457127040 is an apocalyptic number.

2457127040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2457127040 is an abundant number, since it is smaller than the sum of its proper divisors (3416943820).

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

2457127040 is an equidigital number, since it uses as much as digits as its factorization.

2457127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839280 (or 3839268 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 2457127040 is about 49569.4163774398. The cubic root of 2457127040 is about 1349.4056899372.

The spelling of 2457127040 in words is "two billion, four hundred fifty-seven million, one hundred twenty-seven thousand, forty".