2154816 has 112 divisors (see below), whose sum is σ = 6705600. Its totient is φ = 677376.

The previous prime is 2154811. The next prime is 2154829. The reversal of 2154816 is 6184512.

2154816 = 61³ + 62³ + ... + 68³.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2154816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50091 + ... + 50133.

2^2154816 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 2154816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352800).

2154816 is an abundant number, since it is smaller than the sum of its proper divisors (4550784).

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

2154816 is a wasteful number, since it uses less digits than its factorization.

2154816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2154816 is about 1467.9291536038. The cubic root of 2154816 is about 129.1625856960.

The spelling of 2154816 in words is "two million, one hundred fifty-four thousand, eight hundred sixteen".