2413149120 has 336 divisors, whose sum is σ = 8672901120. Its totient is φ = 615168000.

The previous prime is 2413149119. The next prime is 2413149127. The reversal of 2413149120 is 219413142.

It is a happy number.

2413149120 is a `hidden beast` number, since 24 + 131 + 491 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413149127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13481191 + ... + 13481369.

Almost surely, 2^2413149120 is an apocalyptic number.

2413149120 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 2413149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336450560).

2413149120 is an abundant number, since it is smaller than the sum of its proper divisors (6259752000).

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

2413149120 is a wasteful number, since it uses less digits than its factorization.

2413149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2413149120 is about 49123.8141841612. The cubic root of 2413149120 is about 1341.3065744189.

The spelling of 2413149120 in words is "two billion, four hundred thirteen million, one hundred forty-nine thousand, one hundred twenty".