2681952 has 96 divisors (see below), whose sum is σ = 8692992. Its totient is φ = 705024.

The previous prime is 2681951. The next prime is 2681969. The reversal of 2681952 is 2591862.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681951) 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, 8583 + ... + 8889.

It is an arithmetic number, because the mean of its divisors is an integer number (90552).

2^2681952 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 2681952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346496).

2681952 is an abundant number, since it is smaller than the sum of its proper divisors (6011040).

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

2681952 is a wasteful number, since it uses less digits than its factorization.

2681952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 2681952 is about 1637.6666327431. Note that the first 4 decimals coincide. The cubic root of 2681952 is about 138.9367066876.

The spelling of 2681952 in words is "two million, six hundred eighty-one thousand, nine hundred fifty-two".