2464125456 has 120 divisors (see below), whose sum is σ = 6935582880. Its totient is φ = 753512448.

The previous prime is 2464125437. The next prime is 2464125479. The reversal of 2464125456 is 6545214642.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451200 + ... + 1452896.

It is an arithmetic number, because the mean of its divisors is an integer number (57796524).

Almost surely, 2^2464125456 is an apocalyptic number.

2464125456 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 2464125456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467791440).

2464125456 is an abundant number, since it is smaller than the sum of its proper divisors (4471457424).

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

2464125456 is a wasteful number, since it uses less digits than its factorization.

2464125456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1894 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 2464125456 is about 49639.9582594506. The cubic root of 2464125456 is about 1350.6856062097.

The spelling of 2464125456 in words is "two billion, four hundred sixty-four million, one hundred twenty-five thousand, four hundred fifty-six".