2962272 has 48 divisors (see below), whose sum is σ = 7922880. Its totient is φ = 968832.

The previous prime is 2962261. The next prime is 2962273. The reversal of 2962272 is 2722692.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 2¹⁰ + 9 + 6⁵ + 2¹⁵ + 2²⁰ + 7⁷ + 2²⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2962273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5403 + ... + 5925.

It is an arithmetic number, because the mean of its divisors is an integer number (165060).

2^2962272 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 2962272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961440).

2962272 is an abundant number, since it is smaller than the sum of its proper divisors (4960608).

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

2962272 is a wasteful number, since it uses less digits than its factorization.

2962272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 587 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 2962272 is about 1721.1252133416. The cubic root of 2962272 is about 143.6178137081.

The spelling of 2962272 in words is "two million, nine hundred sixty-two thousand, two hundred seventy-two".