2691429120 has 432 divisors, whose sum is σ = 10245100320. Its totient is φ = 674168832.

The previous prime is 2691429089. The next prime is 2691429121. The reversal of 2691429120 is 219241962.

2691429120 is a `hidden beast` number, since 26 + 91 + 429 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2691429121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5287426 + ... + 5287934.

It is an arithmetic number, because the mean of its divisors is an integer number (23715510).

Almost surely, 2^2691429120 is an apocalyptic number.

2691429120 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 2691429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122550160).

2691429120 is an abundant number, since it is smaller than the sum of its proper divisors (7553671200).

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

2691429120 is an equidigital number, since it uses as much as digits as its factorization.

2691429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2691429120 is about 51878.9853408873. The cubic root of 2691429120 is about 1391.0016622880.

The spelling of 2691429120 in words is "two billion, six hundred ninety-one million, four hundred twenty-nine thousand, one hundred twenty".