2354480 has 40 divisors (see below), whose sum is σ = 5766000. Its totient is φ = 891648.

The previous prime is 2354479. The next prime is 2354489. The reversal of 2354480 is 844532.

2354480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 2²¹ + 3¹¹ + 5⁷ + 4⁵ + 4⁵ + 8 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2354489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 746 + ... + 2294.

It is an arithmetic number, because the mean of its divisors is an integer number (144150).

2^2354480 is an apocalyptic number.

2354480 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 2354480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883000).

2354480 is an abundant number, since it is smaller than the sum of its proper divisors (3411520).

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

2354480 is a wasteful number, since it uses less digits than its factorization.

2354480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2354480 is about 1534.4314908135. The cubic root of 2354480 is about 133.0347206165.

The spelling of 2354480 in words is "two million, three hundred fifty-four thousand, four hundred eighty".