2151792 has 80 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 672768.

The previous prime is 2151791. The next prime is 2151817. The reversal of 2151792 is 2971512.

It is a super-2 number, since 2×2151792² = 9260417622528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1260) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7198 + ... + 7490.

It is an arithmetic number, because the mean of its divisors is an integer number (82026).

2^2151792 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 2151792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

2151792 is an abundant number, since it is smaller than the sum of its proper divisors (4410288).

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

2151792 is a wasteful number, since it uses less digits than its factorization.

2151792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 2151792 is about 1466.8987695134. The cubic root of 2151792 is about 129.1021365263.

It can be divided in two parts, 21517 and 92, that added together give a square (21609 = 147²).

The spelling of 2151792 in words is "two million, one hundred fifty-one thousand, seven hundred ninety-two".