2522826240 has 160 divisors (see below), whose sum is σ = 8798651136. Its totient is φ = 611573760.

The previous prime is 2522826233. The next prime is 2522826247. The reversal of 2522826240 is 426282252.

It is an interprime number because it is at equal distance from previous prime (2522826233) and next prime (2522826247).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2522826247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69549 + ... + 99411.

Almost surely, 2^2522826240 is an apocalyptic number.

2522826240 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 2522826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399325568).

2522826240 is an abundant number, since it is smaller than the sum of its proper divisors (6275824896).

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

2522826240 is a wasteful number, since it uses less digits than its factorization.

2522826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29900 (or 29884 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2522826240 is about 50227.7437279438. The cubic root of 2522826240 is about 1361.3269632121.

The spelling of 2522826240 in words is "two billion, five hundred twenty-two million, eight hundred twenty-six thousand, two hundred forty".