2462728440 has 128 divisors (see below), whose sum is σ = 7571232000. Its totient is φ = 640631808.

The previous prime is 2462728439. The next prime is 2462728493. The reversal of 2462728440 is 448272642.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968691 + ... + 971229.

It is an arithmetic number, because the mean of its divisors is an integer number (59150250).

Almost surely, 2^2462728440 is an apocalyptic number.

2462728440 is a gapful number since it is divisible by the number (20) 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 2462728440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785616000).

2462728440 is an abundant number, since it is smaller than the sum of its proper divisors (5108503560).

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

2462728440 is a wasteful number, since it uses less digits than its factorization.

2462728440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 2462728440 is about 49625.8847780067. The cubic root of 2462728440 is about 1350.4303045294.

The spelling of 2462728440 in words is "two billion, four hundred sixty-two million, seven hundred twenty-eight thousand, four hundred forty".