2340284980401 has 27 divisors (see below), whose sum is σ = 3533935644057. Its totient is φ = 1492288328520.

The previous prime is 2340284980399. The next prime is 2340284980403. The reversal of 2340284980401 is 1040894820432.

The square root of 2340284980401 is 1529799.

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

2340284980401 is a `hidden beast` number, since 234 + 0 + 2 + 8 + 4 + 9 + 8 + 0 + 401 = 666.

2340284980401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2340284980399) and next prime (2340284980403).

It is not a de Polignac number, because 2340284980401 - 2¹ = 2340284980399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2340284980403) 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, 105545046 + ... + 105567216.

Almost surely, 2^{2340284980401} is an apocalyptic number.

2340284980401 is the 1529799-th square number.

2340284980401 is the 764900-th centered octagonal number.

It is an amenable number.

2340284980401 is a deficient number, since it is larger than the sum of its proper divisors (1193650663656).

2340284980401 is an frugal number, since it uses more digits than its factorization.

2340284980401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44394 (or 22197 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2340284980401 in words is "two trillion, three hundred forty billion, two hundred eighty-four million, nine hundred eighty thousand, four hundred one".