2114353920 has 432 divisors, whose sum is σ = 8329855968. Its totient is φ = 454164480.

The previous prime is 2114353909. The next prime is 2114353931. The reversal of 2114353920 is 293534112.

It is an interprime number because it is at equal distance from previous prime (2114353909) and next prime (2114353931).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3198390 + ... + 3199050.

It is an arithmetic number, because the mean of its divisors is an integer number (19282074).

Almost surely, 2^2114353920 is an apocalyptic number.

2114353920 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 2114353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164927984).

2114353920 is an abundant number, since it is smaller than the sum of its proper divisors (6215502048).

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

2114353920 is a wasteful number, since it uses less digits than its factorization.

2114353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2114353920 is about 45982.1043450602. The cubic root of 2114353920 is about 1283.4902140629.

The spelling of 2114353920 in words is "two billion, one hundred fourteen million, three hundred fifty-three thousand, nine hundred twenty".