2414052960 has 192 divisors, whose sum is σ = 8334627840. Its totient is φ = 582471680.

The previous prime is 2414052959. The next prime is 2414052973. The reversal of 2414052960 is 692504142.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260964 + ... + 1262876.

It is an arithmetic number, because the mean of its divisors is an integer number (43409520).

Almost surely, 2^2414052960 is an apocalyptic number.

2414052960 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 2414052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167313920).

2414052960 is an abundant number, since it is smaller than the sum of its proper divisors (5920574880).

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

2414052960 is a wasteful number, since it uses less digits than its factorization.

2414052960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2414052960 is about 49133.0129342787. The cubic root of 2414052960 is about 1341.4740147148.

The spelling of 2414052960 in words is "two billion, four hundred fourteen million, fifty-two thousand, nine hundred sixty".