2629152 has 96 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 820224.

The previous prime is 2629139. The next prime is 2629177. The reversal of 2629152 is 2519262.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14599 + ... + 14777.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

2^2629152 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 2629152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

2629152 is an abundant number, since it is smaller than the sum of its proper divisors (5535648).

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

2629152 is a wasteful number, since it uses less digits than its factorization.

2629152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2629152 is about 1621.4660033439. The cubic root of 2629152 is about 138.0189010028.

The spelling of 2629152 in words is "two million, six hundred twenty-nine thousand, one hundred fifty-two".