2177137956 has 96 divisors (see below), whose sum is σ = 6069547008. Its totient is φ = 593873280.

The previous prime is 2177137951. The next prime is 2177137969. The reversal of 2177137956 is 6597317712.

It is not an unprimeable number, because it can be changed into a prime (2177137951) 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 31 ways as a sum of consecutive naturals, for example, 1991346 + ... + 1992438.

It is an arithmetic number, because the mean of its divisors is an integer number (63224448).

Almost surely, 2^2177137956 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 2177137956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034773504).

2177137956 is an abundant number, since it is smaller than the sum of its proper divisors (3892409052).

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

2177137956 is a wasteful number, since it uses less digits than its factorization.

2177137956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2159 counting only the distinct ones).

The product of its digits is 555660, while the sum is 48.

The square root of 2177137956 is about 46659.8109297498. The cubic root of 2177137956 is about 1296.0705718124.

The spelling of 2177137956 in words is "two billion, one hundred seventy-seven million, one hundred thirty-seven thousand, nine hundred fifty-six".