2054536541664 has 48 divisors (see below), whose sum is σ = 5394945588480. Its totient is φ = 684618572160.

The previous prime is 2054536541663. The next prime is 2054536541669. The reversal of 2054536541664 is 4661456354502.

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

It is a super-2 number, since 2×2054536541664² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054536541663) 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, 3254632 + ... + 3834279.

It is an arithmetic number, because the mean of its divisors is an integer number (112394699760).

Almost surely, 2^{2054536541664} is an apocalyptic number.

2054536541664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2054536541664 is an abundant number, since it is smaller than the sum of its proper divisors (3340409046816).

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

2054536541664 is a wasteful number, since it uses less digits than its factorization.

2054536541664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7091943 (or 7091935 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 51.

The spelling of 2054536541664 in words is "two trillion, fifty-four billion, five hundred thirty-six million, five hundred forty-one thousand, six hundred sixty-four".