2154400000 has 108 divisors (see below), whose sum is σ = 5377132404. Its totient is φ = 861440000.

The previous prime is 2154399991. The next prime is 2154400007. The reversal of 2154400000 is 44512.

It can be written as a sum of positive squares in 6 ways, for example, as 1849688064 + 304711936 = 43008^2 + 17456^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2154400007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798654 + ... + 801346.

It is an arithmetic number, because the mean of its divisors is an integer number (49788263).

Almost surely, 2^2154400000 is an apocalyptic number.

2154400000 is a gapful number since it is divisible by the number (20) 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 2154400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688566202).

2154400000 is an abundant number, since it is smaller than the sum of its proper divisors (3222732404).

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

2154400000 is an frugal number, since it uses more digits than its factorization.

2154400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2154400000 is about 46415.5146475831. The cubic root of 2154400000 is about 1291.5427329351.

Adding to 2154400000 its reverse (44512), we get a palindrome (2154444512).

The spelling of 2154400000 in words is "two billion, one hundred fifty-four million, four hundred thousand".