2261240124 has 288 divisors, whose sum is σ = 6742600704. Its totient is φ = 580968960.

The previous prime is 2261240123. The next prime is 2261240129. The reversal of 2261240124 is 4210421622.

It is a happy number.

2261240124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261240124² = 10226413796775070752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261240094 and 2261240103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261240123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42664882 + ... + 42664934.

It is an arithmetic number, because the mean of its divisors is an integer number (23411808).

Almost surely, 2^2261240124 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 2261240124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371300352).

2261240124 is an abundant number, since it is smaller than the sum of its proper divisors (4481360580).

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

2261240124 is a wasteful number, since it uses less digits than its factorization.

2261240124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2261240124 is about 47552.4986094317. The cubic root of 2261240124 is about 1312.5491075685.

Adding to 2261240124 its reverse (4210421622), we get a palindrome (6471661746).

The spelling of 2261240124 in words is "two billion, two hundred sixty-one million, two hundred forty thousand, one hundred twenty-four".