2834428772448 has 1536 divisors, whose sum is σ = 10886787072000. Its totient is φ = 720958371840.

The previous prime is 2834428772429. The next prime is 2834428772449. The reversal of 2834428772448 is 8442778244382.

2834428772448 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 42 + 87 + 72 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2834428772449) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9673818190 + ... + 9673818482.

It is an arithmetic number, because the mean of its divisors is an integer number (7087752000).

Almost surely, 2^{2834428772448} is an apocalyptic number.

2834428772448 is a gapful number since it is divisible by the number (28) 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 2834428772448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443393536000).

2834428772448 is an abundant number, since it is smaller than the sum of its proper divisors (8052358299552).

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

2834428772448 is an equidigital number, since it uses as much as digits as its factorization.

2834428772448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 349 counting only the distinct ones).

The product of its digits is 154140672, while the sum is 63.

The spelling of 2834428772448 in words is "two trillion, eight hundred thirty-four billion, four hundred twenty-eight million, seven hundred seventy-two thousand, four hundred forty-eight".