2738469888 has 528 divisors, whose sum is σ = 10484308224. Its totient is φ = 666501120.

The previous prime is 2738469857. The next prime is 2738469901. The reversal of 2738469888 is 8889648372.

It is a tau number, because it is divible by the number of its divisors (528).

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.

Its product of digits (37158912) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12063631 + ... + 12063857.

Almost surely, 2^2738469888 is an apocalyptic number.

2738469888 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 2738469888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242154112).

2738469888 is an abundant number, since it is smaller than the sum of its proper divisors (7745838336).

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

2738469888 is a wasteful number, since it uses less digits than its factorization.

2738469888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 2738469888 is about 52330.3916285747. The cubic root of 2738469888 is about 1399.0588722455.

The spelling of 2738469888 in words is "two billion, seven hundred thirty-eight million, four hundred sixty-nine thousand, eight hundred eighty-eight".