2141601792 has 240 divisors, whose sum is σ = 6624700992. Its totient is φ = 608174080.

The previous prime is 2141601769. The next prime is 2141601827. The reversal of 2141601792 is 2971061412.

It is a happy number.

It is a super-2 number, since 2×2141601792² = 9172916470995222528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 9191308 + ... + 9191540.

Almost surely, 2^2141601792 is an apocalyptic number.

2141601792 is a gapful number since it is divisible by the number (22) 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 2141601792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312350496).

2141601792 is an abundant number, since it is smaller than the sum of its proper divisors (4483099200).

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

2141601792 is a wasteful number, since it uses less digits than its factorization.

2141601792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2141601792 is about 46277.4436631930. The cubic root of 2141601792 is about 1288.9801831136.

The spelling of 2141601792 in words is "two billion, one hundred forty-one million, six hundred one thousand, seven hundred ninety-two".