2401045200 has 240 divisors, whose sum is σ = 8996497600. Its totient is φ = 606528000.

The previous prime is 2401045193. The next prime is 2401045211. The reversal of 2401045200 is 25401042.

2401045200 is a `hidden beast` number, since 2 + 40 + 104 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199350 + ... + 211050.

Almost surely, 2^2401045200 is an apocalyptic number.

2401045200 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 2401045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498248800).

2401045200 is an abundant number, since it is smaller than the sum of its proper divisors (6595452400).

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

2401045200 is a wasteful number, since it uses less digits than its factorization.

2401045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11747 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2401045200 is about 49000.4612223191. The cubic root of 2401045200 is about 1339.0602306566.

Adding to 2401045200 its reverse (25401042), we get a palindrome (2426446242).

The spelling of 2401045200 in words is "two billion, four hundred one million, forty-five thousand, two hundred".