2836417920 has 512 divisors, whose sum is σ = 10869120000. Its totient is φ = 628604928.

The previous prime is 2836417919. The next prime is 2836417957. The reversal of 2836417920 is 297146382.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 38855004 + ... + 38855076.

It is an arithmetic number, because the mean of its divisors is an integer number (21228750).

Almost surely, 2^2836417920 is an apocalyptic number.

2836417920 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 2836417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434560000).

2836417920 is an abundant number, since it is smaller than the sum of its proper divisors (8032702080).

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

2836417920 is an equidigital number, since it uses as much as digits as its factorization.

2836417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2836417920 is about 53258.0315069943. The cubic root of 2836417920 is about 1415.5441093592.

The spelling of 2836417920 in words is "two billion, eight hundred thirty-six million, four hundred seventeen thousand, nine hundred twenty".