2151504 has 60 divisors (see below), whose sum is σ = 6138496. Its totient is φ = 703296.

The previous prime is 2151497. The next prime is 2151509. The reversal of 2151504 is 4051512.

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 (2151509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9537 + ... + 9759.

2^2151504 is an apocalyptic number.

2151504 is a gapful number since it is divisible by the number (24) 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 2151504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069248).

2151504 is an abundant number, since it is smaller than the sum of its proper divisors (3986992).

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

2151504 is a wasteful number, since it uses less digits than its factorization.

2151504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

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

The square root of 2151504 is about 1466.8005999453. The cubic root of 2151504 is about 129.0963765095.

The spelling of 2151504 in words is "two million, one hundred fifty-one thousand, five hundred four".