2193506140401 has 75 divisors (see below), whose sum is σ = 3392853335531. Its totient is φ = 1412280932832.

The previous prime is 2193506140387. The next prime is 2193506140403. The reversal of 2193506140401 is 1040416053912.

It is a happy number.

The square root of 2193506140401 is 1481049.

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

2193506140401 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 506 + 140 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 421199702001 + 1772306438400 = 648999^2 + 1331280^2 .

It is not a de Polignac number, because 2193506140401 - 2¹¹ = 2193506138353 is a prime.

It is a super-2 number, since 2×2193506140401² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2193506140403) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 24646136365 + ... + 24646136453.

Almost surely, 2^{2193506140401} is an apocalyptic number.

2193506140401 is the 1481049-th square number.

2193506140401 is the 740525-th centered octagonal number.

It is an amenable number.

2193506140401 is a deficient number, since it is larger than the sum of its proper divisors (1199347195130).

2193506140401 is an frugal number, since it uses more digits than its factorization.

2193506140401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 2193506140401 by its sum of digits (36), we get a square (78966221054436 = 8886294²).

The spelling of 2193506140401 in words is "two trillion, one hundred ninety-three billion, five hundred six million, one hundred forty thousand, four hundred one".