2414792340 has 144 divisors (see below), whose sum is σ = 7429968000. Its totient is φ = 634785024.

The previous prime is 2414792339. The next prime is 2414792357. The reversal of 2414792340 is 432974142.

2414792340 is a `hidden beast` number, since 2 + 414 + 7 + 9 + 234 + 0 = 666.

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 = 2414792295 and 2414792304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4800529 + ... + 4801031.

It is an arithmetic number, because the mean of its divisors is an integer number (51597000).

Almost surely, 2^2414792340 is an apocalyptic number.

2414792340 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 2414792340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714984000).

2414792340 is an abundant number, since it is smaller than the sum of its proper divisors (5015175660).

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

2414792340 is a wasteful number, since it uses less digits than its factorization.

2414792340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2414792340 is about 49140.5366271065. The cubic root of 2414792340 is about 1341.6109570034.

The spelling of 2414792340 in words is "two billion, four hundred fourteen million, seven hundred ninety-two thousand, three hundred forty".