2355040 has 48 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 916480.

The previous prime is 2355037. The next prime is 2355043. The reversal of 2355040 is 405532.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2355037) and next prime (2355043).

It is a junction number, because it is equal to n+sod(n) for n = 2354999 and 2355017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2355043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6381 + ... + 6739.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

2^2355040 is an apocalyptic number.

2355040 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 2355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680).

2355040 is an abundant number, since it is smaller than the sum of its proper divisors (3360320).

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

2355040 is a wasteful number, since it uses less digits than its factorization.

2355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 2355040 is about 1534.6139579712. The cubic root of 2355040 is about 133.0452669704.

The spelling of 2355040 in words is "two million, three hundred fifty-five thousand, forty".