2401463688 has 128 divisors (see below), whose sum is σ = 6673067520. Its totient is φ = 715392000.

The previous prime is 2401463657. The next prime is 2401463717. The reversal of 2401463688 is 8863641042.

It is a super-2 number, since 2×2401463688² = 11534055689565122688, which contains 22 as substring.

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, 3197313 + ... + 3198063.

It is an arithmetic number, because the mean of its divisors is an integer number (52133340).

Almost surely, 2^2401463688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401463688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336533760).

2401463688 is an abundant number, since it is smaller than the sum of its proper divisors (4271603832).

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

2401463688 is a wasteful number, since it uses less digits than its factorization.

2401463688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2401463688 is about 49004.7312817854. The cubic root of 2401463688 is about 1339.1380229008.

The spelling of 2401463688 in words is "two billion, four hundred one million, four hundred sixty-three thousand, six hundred eighty-eight".