2617198920 has 384 divisors, whose sum is σ = 10123626240. Its totient is φ = 573972480.

The previous prime is 2617198919. The next prime is 2617198939. The reversal of 2617198920 is 298917162.

2617198920 is a `hidden beast` number, since 2 + 617 + 1 + 9 + 8 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7542187 + ... + 7542533.

It is an arithmetic number, because the mean of its divisors is an integer number (26363610).

Almost surely, 2^2617198920 is an apocalyptic number.

2617198920 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 2617198920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061813120).

2617198920 is an abundant number, since it is smaller than the sum of its proper divisors (7506427320).

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

2617198920 is a wasteful number, since it uses less digits than its factorization.

2617198920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2617198920 is about 51158.5664380854. The cubic root of 2617198920 is about 1378.0942187272.

The spelling of 2617198920 in words is "two billion, six hundred seventeen million, one hundred ninety-eight thousand, nine hundred twenty".