2541115432032 has 48 divisors (see below), whose sum is σ = 6675102810432. Its totient is φ = 846444851840.

The previous prime is 2541115432027. The next prime is 2541115432039. The reversal of 2541115432032 is 2302345111452.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2541115432032² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2541115431984 and 2541115432002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541115432039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9137694 + ... + 9411677.

It is an arithmetic number, because the mean of its divisors is an integer number (139064641884).

Almost surely, 2^{2541115432032} is an apocalyptic number.

It is an amenable number.

2541115432032 is an abundant number, since it is smaller than the sum of its proper divisors (4133987378400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2541115432032 is a wasteful number, since it uses less digits than its factorization.

2541115432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18550811 (or 18550803 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 2541115432032 in words is "two trillion, five hundred forty-one billion, one hundred fifteen million, four hundred thirty-two thousand, thirty-two".