2117435904 has 320 divisors, whose sum is σ = 6657192960. Its totient is φ = 671846400.

The previous prime is 2117435897. The next prime is 2117435909. The reversal of 2117435904 is 4095347112.

2117435904 is a `hidden beast` number, since 21 + 1 + 7 + 43 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2117435909) 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, 34712034 + ... + 34712094.

It is an arithmetic number, because the mean of its divisors is an integer number (20803728).

Almost surely, 2^2117435904 is an apocalyptic number.

2117435904 is a gapful number since it is divisible by the number (24) 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 2117435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328596480).

2117435904 is an abundant number, since it is smaller than the sum of its proper divisors (4539757056).

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

2117435904 is an frugal number, since it uses more digits than its factorization.

2117435904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2117435904 is about 46015.6050052588. The cubic root of 2117435904 is about 1284.1135369949.

The spelling of 2117435904 in words is "two billion, one hundred seventeen million, four hundred thirty-five thousand, nine hundred four".