2082154368 has 256 divisors, whose sum is σ = 6776064000. Its totient is φ = 553236480.

The previous prime is 2082154367. The next prime is 2082154381. The reversal of 2082154368 is 8634512802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082154367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3012903 + ... + 3013593.

It is an arithmetic number, because the mean of its divisors is an integer number (26469000).

Almost surely, 2^2082154368 is an apocalyptic number.

2082154368 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 2082154368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388032000).

2082154368 is an abundant number, since it is smaller than the sum of its proper divisors (4693909632).

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

2082154368 is a wasteful number, since it uses less digits than its factorization.

2082154368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 781 counting only the distinct ones).

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

The square root of 2082154368 is about 45630.6297129461. The cubic root of 2082154368 is about 1276.9414212609.

The spelling of 2082154368 in words is "two billion, eighty-two million, one hundred fifty-four thousand, three hundred sixty-eight".