2154450816 has 144 divisors (see below), whose sum is σ = 7212034440. Its totient is φ = 615541248.

The previous prime is 2154450811. The next prime is 2154450827. The reversal of 2154450816 is 6180544512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154450811) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 37365 + ... + 75531.

Almost surely, 2^2154450816 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 2154450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606017220).

2154450816 is an abundant number, since it is smaller than the sum of its proper divisors (5057583624).

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

2154450816 is a wasteful number, since it uses less digits than its factorization.

2154450816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38201 (or 38179 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2154450816 is about 46416.0620475283. The cubic root of 2154450816 is about 1291.5528874281.

The spelling of 2154450816 in words is "two billion, one hundred fifty-four million, four hundred fifty thousand, eight hundred sixteen".