2427234840 has 192 divisors, whose sum is σ = 8398728000. Its totient is φ = 605822976.

The previous prime is 2427234829. The next prime is 2427234851. The reversal of 2427234840 is 484327242.

2427234840 is a `hidden beast` number, since 2 + 4 + 272 + 348 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2427234829) and next prime (2427234851).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2427234795 and 2427234804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1216884 + ... + 1218876.

It is an arithmetic number, because the mean of its divisors is an integer number (43743375).

Almost surely, 2^2427234840 is an apocalyptic number.

2427234840 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 2427234840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199364000).

2427234840 is an abundant number, since it is smaller than the sum of its proper divisors (5971493160).

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

2427234840 is a wasteful number, since it uses less digits than its factorization.

2427234840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2427234840 is about 49266.9751456287. The cubic root of 2427234840 is about 1343.9112797515.

The spelling of 2427234840 in words is "two billion, four hundred twenty-seven million, two hundred thirty-four thousand, eight hundred forty".