2670719688 has 384 divisors, whose sum is σ = 9549496320. Its totient is φ = 680244480.

The previous prime is 2670719687. The next prime is 2670719759. The reversal of 2670719688 is 8869170762.

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

It is not an unprimeable number, because it can be changed into a prime (2670719683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5483781 + ... + 5484267.

It is an arithmetic number, because the mean of its divisors is an integer number (24868480).

Almost surely, 2^2670719688 is an apocalyptic number.

2670719688 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 2670719688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774748160).

2670719688 is an abundant number, since it is smaller than the sum of its proper divisors (6878776632).

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

2670719688 is a wasteful number, since it uses less digits than its factorization.

2670719688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2670719688 is about 51679.0062597957. The cubic root of 2670719688 is about 1387.4247450784.

The spelling of 2670719688 in words is "two billion, six hundred seventy million, seven hundred nineteen thousand, six hundred eighty-eight".