2154050400 has 144 divisors (see below), whose sum is σ = 7253442000. Its totient is φ = 554588160.

The previous prime is 2154050389. The next prime is 2154050449. The reversal of 2154050400 is 40504512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54126 + ... + 85074.

It is an arithmetic number, because the mean of its divisors is an integer number (50371125).

Almost surely, 2^2154050400 is an apocalyptic number.

2154050400 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 2154050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626721000).

2154050400 is an abundant number, since it is smaller than the sum of its proper divisors (5099391600).

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

2154050400 is a wasteful number, since it uses less digits than its factorization.

2154050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31001 (or 30988 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2154050400 is about 46411.7485126342. The cubic root of 2154050400 is about 1291.4728685080.

Adding to 2154050400 its reverse (40504512), we get a palindrome (2194554912).

The spelling of 2154050400 in words is "two billion, one hundred fifty-four million, fifty thousand, four hundred".