2149540224 has 256 divisors, whose sum is σ = 6559660800. Its totient is φ = 618209280.

The previous prime is 2149540213. The next prime is 2149540229. The reversal of 2149540224 is 4220459412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149540229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12425002 + ... + 12425174.

It is an arithmetic number, because the mean of its divisors is an integer number (25623675).

Almost surely, 2^2149540224 is an apocalyptic number.

2149540224 is a gapful number since it is divisible by the number (24) 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 2149540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279830400).

2149540224 is an abundant number, since it is smaller than the sum of its proper divisors (4410120576).

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

2149540224 is a wasteful number, since it uses less digits than its factorization.

2149540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2149540224 is about 46363.1343202765. The cubic root of 2149540224 is about 1290.5708716628.

Adding to 2149540224 its reverse (4220459412), we get a palindrome (6369999636).

The spelling of 2149540224 in words is "two billion, one hundred forty-nine million, five hundred forty thousand, two hundred twenty-four".