2536401918105 has 48 divisors (see below), whose sum is σ = 5048532066240. Its totient is φ = 1165045852800.

The previous prime is 2536401918101. The next prime is 2536401918133. The reversal of 2536401918105 is 5018191046352.

It is a happy number.

2536401918105 is a `hidden beast` number, since 2 + 53 + 6 + 401 + 91 + 8 + 105 = 666.

2536401918105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2536401918105 - 2² = 2536401918101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2536401918101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134833866 + ... + 134852675.

It is an arithmetic number, because the mean of its divisors is an integer number (105177751380).

Almost surely, 2^{2536401918105} is an apocalyptic number.

It is an amenable number.

2536401918105 is a deficient number, since it is larger than the sum of its proper divisors (2512130148135).

2536401918105 is a wasteful number, since it uses less digits than its factorization.

2536401918105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269686582 (or 269686579 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

It can be divided in two parts, 2536401 and 918105, that added together give a triangular number (3454506 = T₂₆₂₈).

The spelling of 2536401918105 in words is "two trillion, five hundred thirty-six billion, four hundred one million, nine hundred eighteen thousand, one hundred five".