2551824 has 100 divisors (see below), whose sum is σ = 8102160. Its totient is φ = 768960.

The previous prime is 2551823. The next prime is 2551831. The reversal of 2551824 is 4281552.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2551823) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14167 + ... + 14345.

2^2551824 is an apocalyptic number.

2551824 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 2551824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051080).

2551824 is an abundant number, since it is smaller than the sum of its proper divisors (5550336).

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

2551824 is a wasteful number, since it uses less digits than its factorization.

2551824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2551824 is about 1597.4429567280. The cubic root of 2551824 is about 136.6522874686.

It can be divided in two parts, 2551 and 824, that added together give a cube (3375 = 15³).

The spelling of 2551824 in words is "two million, five hundred fifty-one thousand, eight hundred twenty-four".