2427123952 has 80 divisors (see below), whose sum is σ = 5224665600. Its totient is φ = 1083064320.

The previous prime is 2427123947. The next prime is 2427123961. The reversal of 2427123952 is 2593217242.

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, 3155824 + ... + 3156592.

It is an arithmetic number, because the mean of its divisors is an integer number (65308320).

Almost surely, 2^2427123952 is an apocalyptic number.

2427123952 is a gapful number since it is divisible by the number (22) 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 2427123952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612332800).

2427123952 is an abundant number, since it is smaller than the sum of its proper divisors (2797541648).

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

2427123952 is a wasteful number, since it uses less digits than its factorization.

2427123952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1088 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 2427123952 is about 49265.8497541654. The cubic root of 2427123952 is about 1343.8908139522.

The spelling of 2427123952 in words is "two billion, four hundred twenty-seven million, one hundred twenty-three thousand, nine hundred fifty-two".