2401135552 has 56 divisors (see below), whose sum is σ = 4846173696. Its totient is φ = 1180201728.

The previous prime is 2401135547. The next prime is 2401135571. The reversal of 2401135552 is 2555311042.

2401135552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2401135552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183563 + ... + 1185589.

It is an arithmetic number, because the mean of its divisors is an integer number (86538816).

Almost surely, 2^2401135552 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 2401135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423086848).

2401135552 is an abundant number, since it is smaller than the sum of its proper divisors (2445038144).

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

2401135552 is a wasteful number, since it uses less digits than its factorization.

2401135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 2401135552 is about 49001.3831641516. The cubic root of 2401135552 is about 1339.0770268491.

Adding to 2401135552 its reverse (2555311042), we get a palindrome (4956446594).

The spelling of 2401135552 in words is "two billion, four hundred one million, one hundred thirty-five thousand, five hundred fifty-two".