2456361348 has 96 divisors (see below), whose sum is σ = 6959167488. Its totient is φ = 658291200.

The previous prime is 2456361319. The next prime is 2456361367. The reversal of 2456361348 is 8431636542.

It is a super-2 number, since 2×2456361348² = 12067422143896754208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441343 + ... + 446873.

It is an arithmetic number, because the mean of its divisors is an integer number (72491328).

Almost surely, 2^2456361348 is an apocalyptic number.

2456361348 is a gapful number since it is divisible by the number (28) 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 2456361348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479583744).

2456361348 is an abundant number, since it is smaller than the sum of its proper divisors (4502806140).

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

2456361348 is a wasteful number, since it uses less digits than its factorization.

2456361348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5871 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 2456361348 is about 49561.6923439868. The cubic root of 2456361348 is about 1349.2655077287.

The spelling of 2456361348 in words is "two billion, four hundred fifty-six million, three hundred sixty-one thousand, three hundred forty-eight".