2417157263820 has 192 divisors, whose sum is σ = 7471536024960. Its totient is φ = 580247027712.

The previous prime is 2417157263819. The next prime is 2417157263839. The reversal of 2417157263820 is 283627517142.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2417157263820.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4829172 + ... + 5306148.

It is an arithmetic number, because the mean of its divisors is an integer number (38914250130).

Almost surely, 2^{2417157263820} is an apocalyptic number.

2417157263820 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 2417157263820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735768012480).

2417157263820 is an abundant number, since it is smaller than the sum of its proper divisors (5054378761140).

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

2417157263820 is a wasteful number, since it uses less digits than its factorization.

2417157263820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477164 (or 477162 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 2417157263820 in words is "two trillion, four hundred seventeen billion, one hundred fifty-seven million, two hundred sixty-three thousand, eight hundred twenty".