2351506456 has 64 divisors (see below), whose sum is σ = 4887832320. Its totient is φ = 1053665280.

The previous prime is 2351506447. The next prime is 2351506477. The reversal of 2351506456 is 6546051532.

It is a super-2 number, since 2×2351506456² = 11059165225219359872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949636 + ... + 952108.

It is an arithmetic number, because the mean of its divisors is an integer number (76372380).

Almost surely, 2^2351506456 is an apocalyptic number.

2351506456 is a gapful number since it is divisible by the number (26) 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 2351506456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443916160).

2351506456 is an abundant number, since it is smaller than the sum of its proper divisors (2536325864).

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

2351506456 is a wasteful number, since it uses less digits than its factorization.

2351506456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The square root of 2351506456 is about 48492.3339920858. Note that the first 3 decimals coincide. The cubic root of 2351506456 is about 1329.7869249929.

Adding to 2351506456 its reverse (6546051532), we get a palindrome (8897557988).

The spelling of 2351506456 in words is "two billion, three hundred fifty-one million, five hundred six thousand, four hundred fifty-six".