2154880 has 128 divisors (see below), whose sum is σ = 6511680. Its totient is φ = 663552.

The previous prime is 2154871. The next prime is 2154881. The reversal of 2154880 is 884512.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154881) 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, 58222 + ... + 58258.

2^2154880 is an apocalyptic number.

2154880 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 2154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255840).

2154880 is an abundant number, since it is smaller than the sum of its proper divisors (4356800).

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

2154880 is a wasteful number, since it uses less digits than its factorization.

2154880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 2154880 is about 1467.9509528591. The cubic root of 2154880 is about 129.1638644322.

The spelling of 2154880 in words is "two million, one hundred fifty-four thousand, eight hundred eighty".