2154829824 has 384 divisors, whose sum is σ = 7705152000. Its totient is φ = 581271552.

The previous prime is 2154829799. The next prime is 2154829903. The reversal of 2154829824 is 4289284512.

2154829824 is a `hidden beast` number, since 2 + 1 + 548 + 29 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 2154829824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7354222 + ... + 7354514.

It is an arithmetic number, because the mean of its divisors is an integer number (20065500).

Almost surely, 2^2154829824 is an apocalyptic number.

2154829824 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 2154829824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576000).

2154829824 is an abundant number, since it is smaller than the sum of its proper divisors (5550322176).

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

2154829824 is a wasteful number, since it uses less digits than its factorization.

2154829824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 324 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 2154829824 is about 46420.1445926227. The cubic root of 2154829824 is about 1291.6286190518.

The spelling of 2154829824 in words is "two billion, one hundred fifty-four million, eight hundred twenty-nine thousand, eight hundred twenty-four".