2427392000 has 208 divisors, whose sum is σ = 6624094464. Its totient is φ = 880640000.

The previous prime is 2427391991. The next prime is 2427392041. The reversal of 2427392000 is 2937242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5631785 + ... + 5632215.

It is an arithmetic number, because the mean of its divisors is an integer number (31846608).

Almost surely, 2^2427392000 is an apocalyptic number.

2427392000 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 2427392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312047232).

2427392000 is an abundant number, since it is smaller than the sum of its proper divisors (4196702464).

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

2427392000 is an equidigital number, since it uses as much as digits as its factorization.

2427392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 2427392000 is about 49268.5701030586. The cubic root of 2427392000 is about 1343.9402845728.

The spelling of 2427392000 in words is "two billion, four hundred twenty-seven million, three hundred ninety-two thousand".