Search a number
2522640 = 243523457
BaseRepresentation
bin1001100111111000010000
311202011102010
421213320100
51121211030
6130022520
730304431
oct11477020
94664363
102522640
11147332a
12a17a40
136a42b3
14499488
1534c6b0
hex267e10

2522640 has 80 divisors (see below), whose sum is σ = 8178048. Its totient is φ = 642048.

The previous prime is 2522633. The next prime is 2522657. The reversal of 2522640 is 462252.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5292 + ... + 5748.

22522640 is an apocalyptic number.

2522640 is a gapful number since it is divisible by the number (20) 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 2522640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089024).

2522640 is an abundant number, since it is smaller than the sum of its proper divisors (5655408).

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

2522640 is a wasteful number, since it uses less digits than its factorization.

2522640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2522640 is about 1588.2820908138. The cubic root of 2522640 is about 136.1293463776.

Adding to 2522640 its reverse (462252), we get a palindrome (2984892).

The spelling of 2522640 in words is "two million, five hundred twenty-two thousand, six hundred forty".