2428146179001 has 21 divisors (see below), whose sum is σ = 3640616954719. Its totient is φ = 1618736070816.

The previous prime is 2428146178981. The next prime is 2428146179083. The reversal of 2428146179001 is 1009716418242.

The square root of 2428146179001 is 1558251.

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

2428146179001 is a `hidden beast` number, since 2 + 4 + 28 + 1 + 4 + 617 + 9 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 754683125625 + 1673463053376 = 868725^2 + 1293624^2 .

It is not a de Polignac number, because 2428146179001 - 2²¹ = 2428144081849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2428146178001) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 42043921 + ... + 42101633.

Almost surely, 2^{2428146179001} is an apocalyptic number.

2428146179001 is the 1558251-st square number.

2428146179001 is the 779126-th centered octagonal number.

It is an amenable number.

2428146179001 is a deficient number, since it is larger than the sum of its proper divisors (1212470775718).

2428146179001 is an frugal number, since it uses more digits than its factorization.

2428146179001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115444 (or 57716 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2428146179001 in words is "two trillion, four hundred twenty-eight billion, one hundred forty-six million, one hundred seventy-nine thousand, one".