2141977440 has 96 divisors (see below), whose sum is σ = 6777824256. Its totient is φ = 568604160.

The previous prime is 2141977429. The next prime is 2141977451. The reversal of 2141977440 is 447791412.

It is an interprime number because it is at equal distance from previous prime (2141977429) and next prime (2141977451).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 97035 + ... + 117045.

It is an arithmetic number, because the mean of its divisors is an integer number (70602336).

Almost surely, 2^2141977440 is an apocalyptic number.

2141977440 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 2141977440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388912128).

2141977440 is an abundant number, since it is smaller than the sum of its proper divisors (4635846816).

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

2141977440 is a wasteful number, since it uses less digits than its factorization.

2141977440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20252 (or 20244 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 2141977440 is about 46281.5021363827. The cubic root of 2141977440 is about 1289.0555432984.

The spelling of 2141977440 in words is "two billion, one hundred forty-one million, nine hundred seventy-seven thousand, four hundred forty".