2738570688 has 448 divisors, whose sum is σ = 9821875200. Its totient is φ = 731566080.

The previous prime is 2738570621. The next prime is 2738570689. The reversal of 2738570688 is 8860758372.

2738570688 is a `hidden beast` number, since 2 + 7 + 3 + 8 + 570 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738570689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12978903 + ... + 12979113.

Almost surely, 2^2738570688 is an apocalyptic number.

2738570688 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 2738570688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910937600).

2738570688 is an abundant number, since it is smaller than the sum of its proper divisors (7083304512).

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

2738570688 is a wasteful number, since it uses less digits than its factorization.

2738570688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 2738570688 is about 52331.3547311743. The cubic root of 2738570688 is about 1399.0760379633.

The spelling of 2738570688 in words is "two billion, seven hundred thirty-eight million, five hundred seventy thousand, six hundred eighty-eight".