2905634784 has 96 divisors (see below), whose sum is σ = 8313266304. Its totient is φ = 883238400.

The previous prime is 2905634779. The next prime is 2905634789. The reversal of 2905634784 is 4874365092.

2905634784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2905634779) and next prime (2905634789).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2905634784³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905634789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89559 + ... + 117609.

It is an arithmetic number, because the mean of its divisors is an integer number (86596524).

Almost surely, 2^2905634784 is an apocalyptic number.

2905634784 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 2905634784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156633152).

2905634784 is an abundant number, since it is smaller than the sum of its proper divisors (5407631520).

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

2905634784 is a wasteful number, since it uses less digits than its factorization.

2905634784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28160 (or 28152 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 2905634784 is about 53903.9403383463. The cubic root of 2905634784 is about 1426.9661639645.

The spelling of 2905634784 in words is "two billion, nine hundred five million, six hundred thirty-four thousand, seven hundred eighty-four".