2457148536 has 96 divisors (see below), whose sum is σ = 6885889920. Its totient is φ = 790732800.

The previous prime is 2457148531. The next prime is 2457148559. The reversal of 2457148536 is 6358417542.

2457148536 is a `hidden beast` number, since 2 + 4 + 5 + 71 + 48 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2457148491 and 2457148500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2457148531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1161816 + ... + 1163928.

It is an arithmetic number, because the mean of its divisors is an integer number (71728020).

Almost surely, 2^2457148536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2457148536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442944960).

2457148536 is an abundant number, since it is smaller than the sum of its proper divisors (4428741384).

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

2457148536 is a wasteful number, since it uses less digits than its factorization.

2457148536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2670 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 2457148536 is about 49569.6332042108. The cubic root of 2457148536 is about 1349.4096249855.

The spelling of 2457148536 in words is "two billion, four hundred fifty-seven million, one hundred forty-eight thousand, five hundred thirty-six".