2077212816 has 160 divisors (see below), whose sum is σ = 6832896000. Its totient is φ = 591857280.

The previous prime is 2077212811. The next prime is 2077212817. The reversal of 2077212816 is 6182127702.

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

It is not an unprimeable number, because it can be changed into a prime (2077212811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1484085 + ... + 1485483.

It is an arithmetic number, because the mean of its divisors is an integer number (42705600).

Almost surely, 2^2077212816 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 2077212816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416448000).

2077212816 is an abundant number, since it is smaller than the sum of its proper divisors (4755683184).

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

2077212816 is a wasteful number, since it uses less digits than its factorization.

2077212816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2077212816 is about 45576.4502347429. The cubic root of 2077212816 is about 1275.9304377981.

The spelling of 2077212816 in words is "two billion, seventy-seven million, two hundred twelve thousand, eight hundred sixteen".