2054640672 has 144 divisors (see below), whose sum is σ = 7070499072. Its totient is φ = 552499200.

The previous prime is 2054640659. The next prime is 2054640683. The reversal of 2054640672 is 2760464502.

2054640672 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 640 + 6 + 7 + 2 = 666.

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

It is a super-3 number, since 3×2054640672³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4297 + ... + 64247.

It is an arithmetic number, because the mean of its divisors is an integer number (49100688).

Almost surely, 2^2054640672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054640672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535249536).

2054640672 is an abundant number, since it is smaller than the sum of its proper divisors (5015858400).

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

2054640672 is a wasteful number, since it uses less digits than its factorization.

2054640672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59991 (or 59980 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2054640672 is about 45328.1443696960. The cubic root of 2054640672 is about 1271.2919400950.

The spelling of 2054640672 in words is "two billion, fifty-four million, six hundred forty thousand, six hundred seventy-two".