2642320401 has 32 divisors (see below), whose sum is σ = 4118446080. Its totient is φ = 1475478336.

The previous prime is 2642320363. The next prime is 2642320403. The reversal of 2642320401 is 1040232462.

It is not a de Polignac number, because 2642320401 - 2⁷ = 2642320273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2642320403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784960 + ... + 788318.

It is an arithmetic number, because the mean of its divisors is an integer number (128701440).

Almost surely, 2^2642320401 is an apocalyptic number.

2642320401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2642320401 is a deficient number, since it is larger than the sum of its proper divisors (1476125679).

2642320401 is a wasteful number, since it uses less digits than its factorization.

2642320401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2642320401 is about 51403.5057267498. The cubic root of 2642320401 is about 1382.4894504807.

Adding to 2642320401 its reverse (1040232462), we get a palindrome (3682552863).

The spelling of 2642320401 in words is "two billion, six hundred forty-two million, three hundred twenty thousand, four hundred one".