2154414400 has 84 divisors (see below), whose sum is σ = 5365406592. Its totient is φ = 851330560.

The previous prime is 2154414391. The next prime is 2154414467. The reversal of 2154414400 is 44144512.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124689 + ... + 140911.

It is an arithmetic number, because the mean of its divisors is an integer number (63873888).

Almost surely, 2^2154414400 is an apocalyptic number.

2154414400 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 2154414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682703296).

2154414400 is an abundant number, since it is smaller than the sum of its proper divisors (3210992192).

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

2154414400 is a wasteful number, since it uses less digits than its factorization.

2154414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16328 (or 16313 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2154414400 is about 46415.6697678704. The cubic root of 2154414400 is about 1291.5456104840.

Adding to 2154414400 its reverse (44144512), we get a palindrome (2198558912).

The spelling of 2154414400 in words is "two billion, one hundred fifty-four million, four hundred fourteen thousand, four hundred".