2991387672 has 240 divisors, whose sum is σ = 10497785760. Its totient is φ = 788828544.

The previous prime is 2991387653. The next prime is 2991387689. The reversal of 2991387672 is 2767831992.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 409153 + ... + 416399.

It is an arithmetic number, because the mean of its divisors is an integer number (43740774).

Almost surely, 2^2991387672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2991387672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248892880).

2991387672 is an abundant number, since it is smaller than the sum of its proper divisors (7506398088).

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

2991387672 is a wasteful number, since it uses less digits than its factorization.

2991387672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7292 (or 7272 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 2991387672 is about 54693.5798060430. The cubic root of 2991387672 is about 1440.8681223695.

The spelling of 2991387672 in words is "two billion, nine hundred ninety-one million, three hundred eighty-seven thousand, six hundred seventy-two".