2401563528 has 192 divisors, whose sum is σ = 8035372800. Its totient is φ = 630996480.

The previous prime is 2401563509. The next prime is 2401563529. The reversal of 2401563528 is 8253651042.

2401563528 is a `hidden beast` number, since 2 + 4 + 0 + 15 + 635 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2401563492 and 2401563501.

It is not an unprimeable number, because it can be changed into a prime (2401563529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351658 + ... + 2352678.

It is an arithmetic number, because the mean of its divisors is an integer number (41850900).

Almost surely, 2^2401563528 is an apocalyptic number.

2401563528 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 2401563528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017686400).

2401563528 is an abundant number, since it is smaller than the sum of its proper divisors (5633809272).

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

2401563528 is a wasteful number, since it uses less digits than its factorization.

2401563528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2401563528 is about 49005.7499483479. The cubic root of 2401563528 is about 1339.1565807063.

The spelling of 2401563528 in words is "two billion, four hundred one million, five hundred sixty-three thousand, five hundred twenty-eight".