2054664000 has 168 divisors, whose sum is σ = 7350133128. Its totient is φ = 547891200.

The previous prime is 2054663999. The next prime is 2054664023. The reversal of 2054664000 is 4664502.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 348643584 + 1706020416 = 18672^2 + 41304^2 .

It is a congruent number.

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, 57732 + ... + 86268.

Almost surely, 2^2054664000 is an apocalyptic number.

2054664000 is a gapful number since it is divisible by the number (20) 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 2054664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675066564).

2054664000 is an abundant number, since it is smaller than the sum of its proper divisors (5295469128).

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

2054664000 is a wasteful number, since it uses less digits than its factorization.

2054664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28570 (or 28547 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2054664000 is about 45328.4016925371. The cubic root of 2054664000 is about 1271.2967514125.

The spelling of 2054664000 in words is "two billion, fifty-four million, six hundred sixty-four thousand".