2621542401 has 15 divisors (see below), whose sum is σ = 3916819731. Its totient is φ = 1747387728.

The previous prime is 2621542393. The next prime is 2621542403. The reversal of 2621542401 is 1042451262.

The square root of 2621542401 is 51201.

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

2621542401 is a `hidden beast` number, since 2 + 6 + 215 + 42 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2504902401 + 116640000 = 50049^2 + 10800^2 .

It is not a de Polignac number, because 2621542401 - 2³ = 2621542393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2621542403) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 457965 + ... + 463653.

Almost surely, 2^2621542401 is an apocalyptic number.

2621542401 is the 51201-st square number.

2621542401 is the 25601-st centered octagonal number.

It is an amenable number.

2621542401 is a deficient number, since it is larger than the sum of its proper divisors (1295277330).

2621542401 is an frugal number, since it uses more digits than its factorization.

2621542401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11390 (or 5692 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 2621542401 is about 1378.8561551844.

Adding to 2621542401 its reverse (1042451262), we get a palindrome (3663993663).

The spelling of 2621542401 in words is "two billion, six hundred twenty-one million, five hundred forty-two thousand, four hundred one".