2149854624 has 72 divisors (see below), whose sum is σ = 6160426272. Its totient is φ = 711135360.

The previous prime is 2149854613. The next prime is 2149854631. The reversal of 2149854624 is 4264589412.

It is a happy number.

2149854624 is a `hidden beast` number, since 2 + 14 + 9 + 8 + 5 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2149854624.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9237 + ... + 66219.

It is an arithmetic number, because the mean of its divisors is an integer number (85561476).

Almost surely, 2^2149854624 is an apocalyptic number.

2149854624 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 2149854624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080213136).

2149854624 is an abundant number, since it is smaller than the sum of its proper divisors (4010571648).

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

2149854624 is a wasteful number, since it uses less digits than its factorization.

2149854624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57130 (or 57119 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2149854624 is about 46366.5248212544. The cubic root of 2149854624 is about 1290.6337898777.

The spelling of 2149854624 in words is "two billion, one hundred forty-nine million, eight hundred fifty-four thousand, six hundred twenty-four".