2417621416560 has 240 divisors, whose sum is σ = 9280575243264. Its totient is φ = 552509019648.

The previous prime is 2417621416549. The next prime is 2417621416591. The reversal of 2417621416560 is 656141267142.

2417621416560 is a `hidden beast` number, since 2 + 4 + 1 + 7 + 62 + 14 + 16 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 33747339 + ... + 33818901.

Almost surely, 2^{2417621416560} is an apocalyptic number.

2417621416560 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 2417621416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640287621632).

2417621416560 is an abundant number, since it is smaller than the sum of its proper divisors (6862953826704).

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

2417621416560 is a wasteful number, since it uses less digits than its factorization.

2417621416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78292 (or 78283 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2417621416560 in words is "two trillion, four hundred seventeen billion, six hundred twenty-one million, four hundred sixteen thousand, five hundred sixty".