2054124000 has 144 divisors (see below), whose sum is σ = 7290213840. Its totient is φ = 547756800.

The previous prime is 2054123993. The next prime is 2054124001. The reversal of 2054124000 is 4214502.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054124001) 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, 7471 + ... + 64529.

It is an arithmetic number, because the mean of its divisors is an integer number (50626485).

Almost surely, 2^2054124000 is an apocalyptic number.

2054124000 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 2054124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645106920).

2054124000 is an abundant number, since it is smaller than the sum of its proper divisors (5236089840).

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

2054124000 is a wasteful number, since it uses less digits than its factorization.

2054124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57090 (or 57069 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2054124000 is about 45322.4447707756. Note that the first 3 decimals coincide. The cubic root of 2054124000 is about 1271.1853689844.

Adding to 2054124000 its reverse (4214502), we get a palindrome (2058338502).

The spelling of 2054124000 in words is "two billion, fifty-four million, one hundred twenty-four thousand".