2054373984 has 144 divisors (see below), whose sum is σ = 6565339872. Its totient is φ = 604606464.

The previous prime is 2054373983. The next prime is 2054373989. The reversal of 2054373984 is 4893734502.

2054373984 is a `hidden beast` number, since 20 + 543 + 7 + 3 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2054373984² = 8440904932272064512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054373983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74184 + ... + 98040.

It is an arithmetic number, because the mean of its divisors is an integer number (45592638).

Almost surely, 2^2054373984 is an apocalyptic number.

2054373984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054373984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282669936).

2054373984 is an abundant number, since it is smaller than the sum of its proper divisors (4510965888).

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

2054373984 is a wasteful number, since it uses less digits than its factorization.

2054373984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23909 (or 23898 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2054373984 is about 45325.2025257472. The cubic root of 2054373984 is about 1271.2369340495.

The spelling of 2054373984 in words is "two billion, fifty-four million, three hundred seventy-three thousand, nine hundred eighty-four".