2801952 has 120 divisors (see below), whose sum is σ = 8781696. Its totient is φ = 874368.

The previous prime is 2801941. The next prime is 2801971. The reversal of 2801952 is 2591082.

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 19 ways as a sum of consecutive naturals, for example, 59593 + ... + 59639.

2^2801952 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 2801952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848).

2801952 is an abundant number, since it is smaller than the sum of its proper divisors (5979744).

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

2801952 is a wasteful number, since it uses less digits than its factorization.

2801952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2801952 is about 1673.9032230090. The cubic root of 2801952 is about 140.9787201929.

The spelling of 2801952 in words is "two million, eight hundred one thousand, nine hundred fifty-two".