2154764808 has 192 divisors, whose sum is σ = 7011000000. Its totient is φ = 611380224.

The previous prime is 2154764803. The next prime is 2154764809. The reversal of 2154764808 is 8084674512.

2154764808 is a `hidden beast` number, since 21 + 547 + 6 + 4 + 80 + 8 = 666.

It is a super-2 number, since 2×2154764808² = 9286022755590553728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2154764803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1724568 + ... + 1725816.

It is an arithmetic number, because the mean of its divisors is an integer number (36515625).

Almost surely, 2^2154764808 is an apocalyptic number.

2154764808 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 2154764808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505500000).

2154764808 is an abundant number, since it is smaller than the sum of its proper divisors (4856235192).

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

2154764808 is a wasteful number, since it uses less digits than its factorization.

2154764808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2154764808 is about 46419.4442879274. Note that the first 3 decimals coincide. The cubic root of 2154764808 is about 1291.6156284867.

The spelling of 2154764808 in words is "two billion, one hundred fifty-four million, seven hundred sixty-four thousand, eight hundred eight".