2401054400 has 84 divisors (see below), whose sum is σ = 5938570800. Its totient is φ = 955468800.

The previous prime is 2401054373. The next prime is 2401054441. The reversal of 2401054400 is 44501042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314630 + ... + 322170.

Almost surely, 2^2401054400 is an apocalyptic number.

2401054400 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 2401054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969285400).

2401054400 is an abundant number, since it is smaller than the sum of its proper divisors (3537516400).

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

2401054400 is a wasteful number, since it uses less digits than its factorization.

2401054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7747 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2401054400 is about 49000.5550988966. Note that the first 3 decimals coincide. The cubic root of 2401054400 is about 1339.0619409310.

Adding to 2401054400 its reverse (44501042), we get a palindrome (2445555442).

The spelling of 2401054400 in words is "two billion, four hundred one million, fifty-four thousand, four hundred".