2414920480 has 192 divisors, whose sum is σ = 6804000000. Its totient is φ = 792465408.

The previous prime is 2414920471. The next prime is 2414920483. The reversal of 2414920480 is 840294142.

2414920480 = T₁₅₁₅₅ + T₁₅₁₅₆ + ... + T₁₅₁₇₅.

It is not an unprimeable number, because it can be changed into a prime (2414920483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4839271 + ... + 4839769.

It is an arithmetic number, because the mean of its divisors is an integer number (35437500).

Almost surely, 2^2414920480 is an apocalyptic number.

2414920480 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 2414920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402000000).

2414920480 is an abundant number, since it is smaller than the sum of its proper divisors (4389079520).

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

2414920480 is a wasteful number, since it uses less digits than its factorization.

2414920480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2414920480 is about 49141.8404213762. The cubic root of 2414920480 is about 1341.6346872685.

The spelling of 2414920480 in words is "two billion, four hundred fourteen million, nine hundred twenty thousand, four hundred eighty".