2838254016 has 224 divisors, whose sum is σ = 8439554368. Its totient is φ = 836075520.

The previous prime is 2838254009. The next prime is 2838254021. The reversal of 2838254016 is 6104528382.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6741486 + ... + 6741906.

It is an arithmetic number, because the mean of its divisors is an integer number (37676582).

Almost surely, 2^2838254016 is an apocalyptic number.

2838254016 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 2838254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219777184).

2838254016 is an abundant number, since it is smaller than the sum of its proper divisors (5601300352).

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

2838254016 is a wasteful number, since it uses less digits than its factorization.

2838254016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2838254016 is about 53275.2664563961. The cubic root of 2838254016 is about 1415.8494844642.

The spelling of 2838254016 in words is "two billion, eight hundred thirty-eight million, two hundred fifty-four thousand, sixteen".