2838005653000 has 256 divisors, whose sum is σ = 8207084021760. Its totient is φ = 896306688000.

The previous prime is 2838005652959. The next prime is 2838005653009. The reversal of 2838005653000 is 3565008382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2838005653009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5339290 + ... + 5846710.

It is an arithmetic number, because the mean of its divisors is an integer number (32058921960).

Almost surely, 2^{2838005653000} is an apocalyptic number.

2838005653000 is a gapful number since it is divisible by the number (20) 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 2838005653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103542010880).

2838005653000 is an abundant number, since it is smaller than the sum of its proper divisors (5369078368760).

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

2838005653000 is a wasteful number, since it uses less digits than its factorization.

2838005653000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507513 (or 507499 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 2838005653000 in words is "two trillion, eight hundred thirty-eight billion, five million, six hundred fifty-three thousand".