2698381440 has 288 divisors, whose sum is σ = 9904305060. Its totient is φ = 676823040.

The previous prime is 2698381429. The next prime is 2698381447. The reversal of 2698381440 is 441838962.

It is a happy number.

2698381440 is a `hidden beast` number, since 269 + 8 + 381 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2251312704 + 447068736 = 47448^2 + 21144^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2698381447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1663830 + ... + 1665450.

Almost surely, 2^2698381440 is an apocalyptic number.

2698381440 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 2698381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952152530).

2698381440 is an abundant number, since it is smaller than the sum of its proper divisors (7205923620).

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

2698381440 is a wasteful number, since it uses less digits than its factorization.

2698381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2698381440 is about 51945.9472913913. The cubic root of 2698381440 is about 1392.1983466866.

The spelling of 2698381440 in words is "two billion, six hundred ninety-eight million, three hundred eighty-one thousand, four hundred forty".