2698740000 has 720 divisors, whose sum is σ = 11052961920. Its totient is φ = 618240000.

The previous prime is 2698739963. The next prime is 2698740041. The reversal of 2698740000 is 478962.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 57419977 + ... + 57420023.

It is an arithmetic number, because the mean of its divisors is an integer number (15351336).

Almost surely, 2^2698740000 is an apocalyptic number.

2698740000 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 2698740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5526480960).

2698740000 is an abundant number, since it is smaller than the sum of its proper divisors (8354221920).

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

2698740000 is a wasteful number, since it uses less digits than its factorization.

2698740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2698740000 is about 51949.3984565750. The cubic root of 2698740000 is about 1392.2600089017.

The spelling of 2698740000 in words is "two billion, six hundred ninety-eight million, seven hundred forty thousand".