2419116480 has 336 divisors, whose sum is σ = 9557308800. Its totient is φ = 555448320.

The previous prime is 2419116449. The next prime is 2419116509. The reversal of 2419116480 is 846119142.

2419116480 is a `hidden beast` number, since 2 + 4 + 1 + 9 + 1 + 1 + 648 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 599911 + ... + 603929.

Almost surely, 2^2419116480 is an apocalyptic number.

2419116480 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 2419116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778654400).

2419116480 is an abundant number, since it is smaller than the sum of its proper divisors (7138192320).

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

2419116480 is a wasteful number, since it uses less digits than its factorization.

2419116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2419116480 is about 49184.5146362145. The cubic root of 2419116480 is about 1342.4112817583.

The spelling of 2419116480 in words is "two billion, four hundred nineteen million, one hundred sixteen thousand, four hundred eighty".