2401220400 has 120 divisors (see below), whose sum is σ = 7702822464. Its totient is φ = 639417600.

The previous prime is 2401220389. The next prime is 2401220431. The reversal of 2401220400 is 40221042.

It is a tau number, because it is divible by the number of its divisors (120).

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 2401220400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567635 + ... + 1569165.

Almost surely, 2^2401220400 is an apocalyptic number.

2401220400 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 2401220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851411232).

2401220400 is an abundant number, since it is smaller than the sum of its proper divisors (5301602064).

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

2401220400 is a wasteful number, since it uses less digits than its factorization.

2401220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2401220400 is about 49002.2489279829. The cubic root of 2401220400 is about 1339.0927994793.

Adding to 2401220400 its reverse (40221042), we get a palindrome (2441441442).

The spelling of 2401220400 in words is "two billion, four hundred one million, two hundred twenty thousand, four hundred".