2154121400 has 96 divisors (see below), whose sum is σ = 5154982560. Its totient is φ = 836759040.

The previous prime is 2154121399. The next prime is 2154121423. The reversal of 2154121400 is 41214512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 1090814 + ... + 1092786.

It is an arithmetic number, because the mean of its divisors is an integer number (53697735).

Almost surely, 2^2154121400 is an apocalyptic number.

2154121400 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 2154121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577491280).

2154121400 is an abundant number, since it is smaller than the sum of its proper divisors (3000861160).

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

2154121400 is a wasteful number, since it uses less digits than its factorization.

2154121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2154121400 is about 46412.5133988669. The cubic root of 2154121400 is about 1291.4870578335.

Adding to 2154121400 its reverse (41214512), we get a palindrome (2195335912).

The spelling of 2154121400 in words is "two billion, one hundred fifty-four million, one hundred twenty-one thousand, four hundred".