2401 has 5 divisors (see below), whose sum is σ = 2801. Its totient is φ = 2058.

The previous prime is 2399. The next prime is 2411. The reversal of 2401 is 1042.

Adding to 2401 its reverse (1042), we get a palindrome (3443).

2401 = T_{48} + T_{49}.

The square root of 2401 is 49.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is not a de Polignac number, because 2401 - 2^{1} = 2399 is a prime.

It is a hoax number, since the sum of its digits (7) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 7, base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (2411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 340 + ... + 346.

2^{2401} is an apocalyptic number.

2401 is the 49-th square number.

2401 is the 25-th centered octagonal number.

It is an amenable number.

2401 is a deficient number, since it is larger than the sum of its proper divisors (400).

2401 is an frugal number, since it uses more digits than its factorization.

2401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The cubic root of 2401 is about 13.3905182794.

The spelling of 2401 in words is "two thousand, four hundred one", and thus it is an iban number.

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