2783434752 has 576 divisors, whose sum is σ = 10302888960. Its totient is φ = 732561408.

The previous prime is 2783434741. The next prime is 2783434831. The reversal of 2783434752 is 2574343872.

2783434752 is a `hidden beast` number, since 278 + 34 + 347 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 2783434698 and 2783434707.

It is a congruent number.

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, 59221993 + ... + 59222039.

It is an arithmetic number, because the mean of its divisors is an integer number (17886960).

Almost surely, 2^2783434752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2783434752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151444480).

2783434752 is an abundant number, since it is smaller than the sum of its proper divisors (7519454208).

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

2783434752 is an equidigital number, since it uses as much as digits as its factorization.

2783434752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 2783434752 is about 52758.2671436430. The cubic root of 2783434752 is about 1406.6747171535.

The spelling of 2783434752 in words is "two billion, seven hundred eighty-three million, four hundred thirty-four thousand, seven hundred fifty-two".