2698665984 has 420 divisors, whose sum is σ = 9491458284. Its totient is φ = 761757696.

The previous prime is 2698665953. The next prime is 2698665989. The reversal of 2698665984 is 4895668962.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (44789760) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2698665989) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32514007 + ... + 32514089.

Almost surely, 2^2698665984 is an apocalyptic number.

2698665984 is a gapful number since it is divisible by the number (24) 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 2698665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745729142).

2698665984 is an abundant number, since it is smaller than the sum of its proper divisors (6792792300).

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

2698665984 is an frugal number, since it uses more digits than its factorization.

2698665984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The square root of 2698665984 is about 51948.6860661557. The cubic root of 2698665984 is about 1392.2472806830.

The spelling of 2698665984 in words is "two billion, six hundred ninety-eight million, six hundred sixty-five thousand, nine hundred eighty-four".