2414157480 has 448 divisors, whose sum is σ = 9882504000. Its totient is φ = 522764928.

The previous prime is 2414157439. The next prime is 2414157527. The reversal of 2414157480 is 847514142.

It is a happy number.

2414157480 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 1 + 574 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 127060911 + ... + 127060929.

Almost surely, 2^2414157480 is an apocalyptic number.

2414157480 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 2414157480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941252000).

2414157480 is an abundant number, since it is smaller than the sum of its proper divisors (7468346520).

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

2414157480 is an frugal number, since it uses more digits than its factorization.

2414157480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2414157480 is about 49134.0765660656. The cubic root of 2414157480 is about 1341.4933748038.

The spelling of 2414157480 in words is "two billion, four hundred fourteen million, one hundred fifty-seven thousand, four hundred eighty".