2626122240 has 480 divisors, whose sum is σ = 10954120320. Its totient is φ = 568000512.

The previous prime is 2626122223. The next prime is 2626122287. The reversal of 2626122240 is 422216262.

It is a happy number.

2626122240 is a `hidden beast` number, since 2 + 6 + 2 + 612 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×2626122240³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3063892 + ... + 3064748.

It is an arithmetic number, because the mean of its divisors is an integer number (22821084).

Almost surely, 2^2626122240 is an apocalyptic number.

2626122240 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 2626122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477060160).

2626122240 is an abundant number, since it is smaller than the sum of its proper divisors (8327998080).

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

2626122240 is a wasteful number, since it uses less digits than its factorization.

2626122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2626122240 is about 51245.7046004833. The cubic root of 2626122240 is about 1379.6586427269.

The spelling of 2626122240 in words is "two billion, six hundred twenty-six million, one hundred twenty-two thousand, two hundred forty".