2401001002400 has 288 divisors, whose sum is σ = 7869913043328. Its totient is φ = 690797260800.

The previous prime is 2401001002369. The next prime is 2401001002427. The reversal of 2401001002400 is 42001001042.

2401001002400 is digitally balanced in base 2, because in such base 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 (14).

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, 698327 + ... + 2299926.

It is an arithmetic number, because the mean of its divisors is an integer number (27326086956).

Almost surely, 2^{2401001002400} is an apocalyptic number.

2401001002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401001002400 is an abundant number, since it is smaller than the sum of its proper divisors (5468912040928).

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

2401001002400 is a wasteful number, since it uses less digits than its factorization.

2401001002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998304 (or 2998291 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2401001002400 its reverse (42001001042), we get a palindrome (2443002003442).

The spelling of 2401001002400 in words is "two trillion, four hundred one billion, one million, two thousand, four hundred".