2401595648 has 36 divisors (see below), whose sum is σ = 4805740380. Its totient is φ = 1197809664.

The previous prime is 2401595641. The next prime is 2401595663. The reversal of 2401595648 is 8465951042.

It can be written as a sum of positive squares in 2 ways, for example, as 1464745984 + 936849664 = 38272^2 + 30608^2 .

It is a super-3 number, since 3×2401595648³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2401595599 and 2401595608.

It is not an unprimeable number, because it can be changed into a prime (2401595641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93236 + ... + 116172.

Almost surely, 2^2401595648 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 2401595648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402870190).

2401595648 is an abundant number, since it is smaller than the sum of its proper divisors (2404144732).

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

2401595648 is an equidigital number, since it uses as much as digits as its factorization.

2401595648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23362 (or 23348 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The square root of 2401595648 is about 49006.0776638980. The cubic root of 2401595648 is about 1339.1625509165.

The spelling of 2401595648 in words is "two billion, four hundred one million, five hundred ninety-five thousand, six hundred forty-eight".