2401002401 has 20 divisors (see below), whose sum is σ = 2829021204. Its totient is φ = 2037420000.

The previous prime is 2401002397. The next prime is 2401002403. The reversal of 2401002401 is 1042001042.

It can be written as a sum of positive squares in 2 ways, for example, as 2305920400 + 95082001 = 48020^2 + 9751^2 .

It is not a de Polignac number, because 2401002401 - 2² = 2401002397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401002403) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 237551 + ... + 247451.

Almost surely, 2^2401002401 is an apocalyptic number.

It is an amenable number.

2401002401 is a deficient number, since it is larger than the sum of its proper divisors (428018803).

2401002401 is an frugal number, since it uses more digits than its factorization.

2401002401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10030 (or 10009 counting only the distinct ones).

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

The square root of 2401002401 is about 49000.0244999939. The cubic root of 2401002401 is about 1339.0522742911.

Adding to 2401002401 its reverse (1042001042), we get a palindrome (3443003443).

It can be divided in two parts, 240100 and 2401, that multiplied together give a square (576480100 = 24010²).

The spelling of 2401002401 in words is "two billion, four hundred one million, two thousand, four hundred one".