2427405240 has 128 divisors (see below), whose sum is σ = 8009487360. Its totient is φ = 584784384.

The previous prime is 2427405209. The next prime is 2427405259. The reversal of 2427405240 is 425047242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2427405198 and 2427405207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56767 + ... + 89873.

It is an arithmetic number, because the mean of its divisors is an integer number (62574120).

Almost surely, 2^2427405240 is an apocalyptic number.

2427405240 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 2427405240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004743680).

2427405240 is an abundant number, since it is smaller than the sum of its proper divisors (5582082120).

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

2427405240 is a wasteful number, since it uses less digits than its factorization.

2427405240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33181 (or 33177 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 2427405240 is about 49268.7044684554. The cubic root of 2427405240 is about 1343.9427280371.

The spelling of 2427405240 in words is "two billion, four hundred twenty-seven million, four hundred five thousand, two hundred forty".