2151049824 has 576 divisors, whose sum is σ = 8273664000. Its totient is φ = 537062400.

The previous prime is 2151049819. The next prime is 2151049843. The reversal of 2151049824 is 4289401512.

2151049824 is a `hidden beast` number, since 21 + 510 + 49 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14436502 + ... + 14436650.

It is an arithmetic number, because the mean of its divisors is an integer number (14364000).

Almost surely, 2^2151049824 is an apocalyptic number.

2151049824 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 2151049824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136832000).

2151049824 is an abundant number, since it is smaller than the sum of its proper divisors (6122614176).

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

2151049824 is a wasteful number, since it uses less digits than its factorization.

2151049824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2151049824 is about 46379.4116392177. The cubic root of 2151049824 is about 1290.8729191839.

The spelling of 2151049824 in words is "two billion, one hundred fifty-one million, forty-nine thousand, eight hundred twenty-four".