2077624656 has 60 divisors (see below), whose sum is σ = 5844983040. Its totient is φ = 688906560.

The previous prime is 2077624651. The next prime is 2077624663. The reversal of 2077624656 is 6564267702.

It is a super-2 number, since 2×2077624656² = 8633048422438236672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077624651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10266 + ... + 65273.

It is an arithmetic number, because the mean of its divisors is an integer number (97416384).

Almost surely, 2^2077624656 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 2077624656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922491520).

2077624656 is an abundant number, since it is smaller than the sum of its proper divisors (3767358384).

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

2077624656 is a wasteful number, since it uses less digits than its factorization.

2077624656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75744 (or 75735 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2077624656 is about 45580.9681336410. The cubic root of 2077624656 is about 1276.0147566288.

The spelling of 2077624656 in words is "two billion, seventy-seven million, six hundred twenty-four thousand, six hundred fifty-six".