2128464 has 80 divisors (see below), whose sum is σ = 6596800. Its totient is φ = 653184.

The previous prime is 2128463. The next prime is 2128481. The reversal of 2128464 is 4648212.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128463) 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, 5427 + ... + 5805.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

2^2128464 is an apocalyptic number.

2128464 is a gapful number since it is divisible by the number (24) 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 2128464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298400).

2128464 is an abundant number, since it is smaller than the sum of its proper divisors (4468336).

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

2128464 is a wasteful number, since it uses less digits than its factorization.

2128464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2128464 is about 1458.9256321006. The cubic root of 2128464 is about 128.6338997998.

The spelling of 2128464 in words is "two million, one hundred twenty-eight thousand, four hundred sixty-four".