2054052000 has 1536 divisors, whose sum is σ = 10567065600. Its totient is φ = 373248000.

The previous prime is 2054051953. The next prime is 2054052001. The reversal of 2054052000 is 2504502.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054052001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 108107991 + ... + 108108009.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^2054052000 is an apocalyptic number.

2054052000 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 2054052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283532800).

2054052000 is an abundant number, since it is smaller than the sum of its proper divisors (8513013600).

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

2054052000 is a wasteful number, since it uses less digits than its factorization.

2054052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2054052000 is about 45321.6504553839. The cubic root of 2054052000 is about 1271.1705165192.

Adding to 2054052000 its reverse (2504502), we get a palindrome (2056556502).

The spelling of 2054052000 in words is "two billion, fifty-four million, fifty-two thousand", and thus it is an eban number.