2463694128 has 720 divisors, whose sum is σ = 9526533120. Its totient is φ = 587575296.

The previous prime is 2463694117. The next prime is 2463694133. The reversal of 2463694128 is 8214963642.

2463694128 is a `hidden beast` number, since 2 + 4 + 636 + 9 + 4 + 1 + 2 + 8 = 666.

2463694128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52419001 + ... + 52419047.

It is an arithmetic number, because the mean of its divisors is an integer number (13231296).

Almost surely, 2^2463694128 is an apocalyptic number.

2463694128 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 2463694128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763266560).

2463694128 is an abundant number, since it is smaller than the sum of its proper divisors (7062838992).

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

2463694128 is a wasteful number, since it uses less digits than its factorization.

2463694128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2463694128 is about 49635.6135048213. The cubic root of 2463694128 is about 1350.6067922413.

The spelling of 2463694128 in words is "two billion, four hundred sixty-three million, six hundred ninety-four thousand, one hundred twenty-eight".