2364001641 has 27 divisors (see below), whose sum is σ = 3608077239. Its totient is φ = 1491303312.

The previous prime is 2364001639. The next prime is 2364001681. The reversal of 2364001641 is 1461004632.

The square root of 2364001641 is 48621.

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

2364001641 is a `hidden beast` number, since 2 + 3 + 640 + 0 + 16 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 136539225 + 2227462416 = 11685^2 + 47196^2 .

It is not a de Polignac number, because 2364001641 - 2¹ = 2364001639 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2364001681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2770971 + ... + 2771823.

Almost surely, 2^2364001641 is an apocalyptic number.

2364001641 is the 48621-st square number.

2364001641 is the 24311-st centered octagonal number.

It is an amenable number.

2364001641 is a deficient number, since it is larger than the sum of its proper divisors (1244075598).

2364001641 is an frugal number, since it uses more digits than its factorization.

2364001641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 2364001641 is about 1332.1381255052.

The spelling of 2364001641 in words is "two billion, three hundred sixty-four million, one thousand, six hundred forty-one".