2141935488 has 320 divisors, whose sum is σ = 7950222720. Its totient is φ = 556139520.

The previous prime is 2141935429. The next prime is 2141935507. The reversal of 2141935488 is 8845391412.

2141935488 is a `hidden beast` number, since 2 + 14 + 1 + 93 + 548 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 796995 + ... + 799677.

It is an arithmetic number, because the mean of its divisors is an integer number (24844446).

Almost surely, 2^2141935488 is an apocalyptic number.

2141935488 is a gapful number since it is divisible by the number (28) 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 2141935488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975111360).

2141935488 is an abundant number, since it is smaller than the sum of its proper divisors (5808287232).

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

2141935488 is a wasteful number, since it uses less digits than its factorization.

2141935488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2706 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2141935488 is about 46281.0489077333. The cubic root of 2141935488 is about 1289.0471275840.

The spelling of 2141935488 in words is "two billion, one hundred forty-one million, nine hundred thirty-five thousand, four hundred eighty-eight".