2291151744 has 384 divisors, whose sum is σ = 8286969600. Its totient is φ = 615112704.

The previous prime is 2291151743. The next prime is 2291151749. The reversal of 2291151744 is 4471511922.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (20160) is a multiple of the sum of its prime factors (672).

It is a junction number, because it is equal to n+sod(n) for n = 2291151699 and 2291151708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291151743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3701067 + ... + 3701685.

It is an arithmetic number, because the mean of its divisors is an integer number (21580650).

Almost surely, 2^2291151744 is an apocalyptic number.

2291151744 is a gapful number since it is divisible by the number (24) 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 2291151744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143484800).

2291151744 is an abundant number, since it is smaller than the sum of its proper divisors (5995817856).

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

2291151744 is an equidigital number, since it uses as much as digits as its factorization.

2291151744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 648 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2291151744 is about 47865.9768938230. The cubic root of 2291151744 is about 1318.3112287843.

The spelling of 2291151744 in words is "two billion, two hundred ninety-one million, one hundred fifty-one thousand, seven hundred forty-four".