2698982208 has 280 divisors, whose sum is σ = 8919621480. Its totient is φ = 801239040.

The previous prime is 2698982201. The next prime is 2698982213. The reversal of 2698982208 is 8022898962.

It can be written as a sum of positive squares in 4 ways, for example, as 93083904 + 2605898304 = 9648^2 + 51048^2 .

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 (2698982201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1953678 + ... + 1955058.

It is an arithmetic number, because the mean of its divisors is an integer number (31855791).

Almost surely, 2^2698982208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2698982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459810740).

2698982208 is an abundant number, since it is smaller than the sum of its proper divisors (6220639272).

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

2698982208 is a wasteful number, since it uses less digits than its factorization.

2698982208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2698982208 is about 51951.7295958470. The cubic root of 2698982208 is about 1392.3016587611.

It can be divided in two parts, 2698 and 982208, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 2698982208 in words is "two billion, six hundred ninety-eight million, nine hundred eighty-two thousand, two hundred eight".