2034284616 has 192 divisors, whose sum is σ = 6878027520. Its totient is φ = 528837120.

The previous prime is 2034284587. The next prime is 2034284621. The reversal of 2034284616 is 6164824302.

2034284616 is a `hidden beast` number, since 2 + 0 + 34 + 2 + 8 + 4 + 616 = 666.

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

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, 463006 + ... + 467378.

It is an arithmetic number, because the mean of its divisors is an integer number (35823060).

Almost surely, 2^2034284616 is an apocalyptic number.

2034284616 is a gapful number since it is divisible by the number (26) 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 2034284616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439013760).

2034284616 is an abundant number, since it is smaller than the sum of its proper divisors (4843742904).

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

2034284616 is a wasteful number, since it uses less digits than its factorization.

2034284616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2034284616 is about 45103.0444205266. The cubic root of 2034284616 is about 1267.0796178352.

The spelling of 2034284616 in words is "two billion, thirty-four million, two hundred eighty-four thousand, six hundred sixteen".