2542736533464 has 48 divisors (see below), whose sum is σ = 7108725798720. Its totient is φ = 820237590720.

The previous prime is 2542736533459. The next prime is 2542736533489. The reversal of 2542736533464 is 4643356372452.

2542736533464 is a `hidden beast` number, since 2 + 5 + 42 + 7 + 3 + 6 + 533 + 4 + 64 = 666.

It is a super-2 number, since 2×2542736533464² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2542736533464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569607207 + ... + 569611670.

It is an arithmetic number, because the mean of its divisors is an integer number (148098454140).

Almost surely, 2^{2542736533464} is an apocalyptic number.

2542736533464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2542736533464 is an abundant number, since it is smaller than the sum of its proper divisors (4565989265256).

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

2542736533464 is a wasteful number, since it uses less digits than its factorization.

2542736533464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139218920 (or 1139218913 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 54.

The spelling of 2542736533464 in words is "two trillion, five hundred forty-two billion, seven hundred thirty-six million, five hundred thirty-three thousand, four hundred sixty-four".