2414149920 has 960 divisors, whose sum is σ = 11064936960. Its totient is φ = 481738752.

The previous prime is 2414149919. The next prime is 2414149981. The reversal of 2414149920 is 299414142.

2414149920 is a `hidden beast` number, since 2 + 4 + 141 + 499 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27125236 + ... + 27125324.

It is an arithmetic number, because the mean of its divisors is an integer number (11525976).

Almost surely, 2^2414149920 is an apocalyptic number.

2414149920 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 2414149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532468480).

2414149920 is an abundant number, since it is smaller than the sum of its proper divisors (8650787040).

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

2414149920 is a wasteful number, since it uses less digits than its factorization.

2414149920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2414149920 is about 49133.9996336549. Note that the first 3 decimals coincide. The cubic root of 2414149920 is about 1341.4919744946.

Adding to 2414149920 its sum of digits (36), we get a square (2414149956 = 49134²).

The spelling of 2414149920 in words is "two billion, four hundred fourteen million, one hundred forty-nine thousand, nine hundred twenty".