2114697984 has 144 divisors (see below), whose sum is σ = 6640220160. Its totient is φ = 584663040.

The previous prime is 2114697971. The next prime is 2114698007. The reversal of 2114697984 is 4897964112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160312 + ... + 173000.

It is an arithmetic number, because the mean of its divisors is an integer number (46112640).

Almost surely, 2^2114697984 is an apocalyptic number.

2114697984 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 2114697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320110080).

2114697984 is an abundant number, since it is smaller than the sum of its proper divisors (4525522176).

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

2114697984 is a wasteful number, since it uses less digits than its factorization.

2114697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12746 (or 12732 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 2114697984 is about 45985.8454744501. The cubic root of 2114697984 is about 1283.5598301004.

It can be divided in two parts, 211469 and 7984, that added together give a triangular number (219453 = T₆₆₂).

The spelling of 2114697984 in words is "two billion, one hundred fourteen million, six hundred ninety-seven thousand, nine hundred eighty-four".