2401331100 has 288 divisors, whose sum is σ = 8399462400. Its totient is φ = 517820160.

The previous prime is 2401331071. The next prime is 2401331137. The reversal of 2401331100 is 11331042.

2401331100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2401331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4008601 + ... + 4009199.

It is an arithmetic number, because the mean of its divisors is an integer number (29164800).

Almost surely, 2^2401331100 is an apocalyptic number.

2401331100 is a gapful number since it is divisible by the number (20) 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 2401331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199731200).

2401331100 is an abundant number, since it is smaller than the sum of its proper divisors (5998131300).

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

2401331100 is a wasteful number, since it uses less digits than its factorization.

2401331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2401331100 is about 49003.3784549596. The cubic root of 2401331100 is about 1339.1133772509.

Adding to 2401331100 its reverse (11331042), we get a palindrome (2412662142).

The spelling of 2401331100 in words is "two billion, four hundred one million, three hundred thirty-one thousand, one hundred".