2738699680 has 72 divisors (see below), whose sum is σ = 6701310252. Its totient is φ = 1057652736.

The previous prime is 2738699671. The next prime is 2738699731. The reversal of 2738699680 is 869968372.

2738699680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1067198224 + 1671501456 = 32668^2 + 40884^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124384 + ... + 144736.

Almost surely, 2^2738699680 is an apocalyptic number.

2738699680 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 2738699680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350655126).

2738699680 is an abundant number, since it is smaller than the sum of its proper divisors (3962610572).

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

2738699680 is a wasteful number, since it uses less digits than its factorization.

2738699680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20426 (or 20389 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The square root of 2738699680 is about 52332.5871709015. The cubic root of 2738699680 is about 1399.0980040183.

The spelling of 2738699680 in words is "two billion, seven hundred thirty-eight million, six hundred ninety-nine thousand, six hundred eighty".