2152251000 has 384 divisors, whose sum is σ = 8003136960. Its totient is φ = 539136000.

The previous prime is 2152250959. The next prime is 2152251001. The reversal of 2152251000 is 1522512.

2152251000 is a `hidden beast` number, since 2 + 152 + 2 + 510 + 0 + 0 = 666.

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 (2152251001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4130740 + ... + 4131260.

Almost surely, 2^2152251000 is an apocalyptic number.

2152251000 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 2152251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001568480).

2152251000 is an abundant number, since it is smaller than the sum of its proper divisors (5850885960).

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

2152251000 is a wasteful number, since it uses less digits than its factorization.

2152251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2152251000 is about 46392.3592846926. The cubic root of 2152251000 is about 1291.1131549086.

Adding to 2152251000 its reverse (1522512), we get a palindrome (2153773512).

It can be divided in two parts, 215225 and 1000, that added together give a square (216225 = 465²).

The spelling of 2152251000 in words is "two billion, one hundred fifty-two million, two hundred fifty-one thousand".