2642972828401 has 2 divisors, whose sum is σ = 2642972828402. Its totient is φ = 2642972828400.

The previous prime is 2642972828339. The next prime is 2642972828429. The reversal of 2642972828401 is 1048282792462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2564558827776 + 78414000625 = 1601424^2 + 280025^2 .

It is a cyclic number.

It is not a de Polignac number, because 2642972828401 - 2³³ = 2634382893809 is a prime.

It is not a weakly prime, because it can be changed into another prime (2642972828101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1321486414200 + 1321486414201.

It is an arithmetic number, because the mean of its divisors is an integer number (1321486414201).

Almost surely, 2^{2642972828401} is an apocalyptic number.

It is an amenable number.

2642972828401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2642972828401 is an equidigital number, since it uses as much as digits as its factorization.

2642972828401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 2642972828401 in words is "two trillion, six hundred forty-two billion, nine hundred seventy-two million, eight hundred twenty-eight thousand, four hundred one".