2414976480 has 432 divisors, whose sum is σ = 10017090720. Its totient is φ = 518897664.

The previous prime is 2414976457. The next prime is 2414976491. The reversal of 2414976480 is 846794142.

2414976480 is a `hidden beast` number, since 24 + 1 + 497 + 64 + 80 = 666.

It is a super-2 number, since 2×2414976480² = 11664222797906380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2912706 + ... + 2913534.

It is an arithmetic number, because the mean of its divisors is an integer number (23187710).

Almost surely, 2^2414976480 is an apocalyptic number.

2414976480 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 2414976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008545360).

2414976480 is an abundant number, since it is smaller than the sum of its proper divisors (7602114240).

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

2414976480 is a wasteful number, since it uses less digits than its factorization.

2414976480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2414976480 is about 49142.4101973031. The cubic root of 2414976480 is about 1341.6450576530.

The spelling of 2414976480 in words is "two billion, four hundred fourteen million, nine hundred seventy-six thousand, four hundred eighty".