2971331792 has 160 divisors (see below), whose sum is σ = 6985802880. Its totient is φ = 1206466560.

The previous prime is 2971331789. The next prime is 2971331807.

2971331792 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12975134 + ... + 12975362.

It is an arithmetic number, because the mean of its divisors is an integer number (43661268).

Almost surely, 2^2971331792 is an apocalyptic number.

2971331792 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 2971331792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492901440).

2971331792 is an abundant number, since it is smaller than the sum of its proper divisors (4014471088).

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

2971331792 is a wasteful number, since it uses less digits than its factorization.

2971331792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its digits is 142884, while the sum is 44.

The square root of 2971331792 is about 54509.9237937460. The cubic root of 2971331792 is about 1437.6407793770.

The spelling of 2971331792 in words is "two billion, nine hundred seventy-one million, three hundred thirty-one thousand, seven hundred ninety-two".