2948087616 has 112 divisors (see below), whose sum is σ = 8017215360. Its totient is φ = 955514880.

The previous prime is 2948087587. The next prime is 2948087617. The reversal of 2948087616 is 6167808492.

It is a super-2 number, since 2×2948087616² = 17382441183225126912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) 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 (2948087617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3833280 + ... + 3834048.

It is an arithmetic number, because the mean of its divisors is an integer number (71582280).

Almost surely, 2^2948087616 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 2948087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008607680).

2948087616 is an abundant number, since it is smaller than the sum of its proper divisors (5069127744).

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

2948087616 is a wasteful number, since it uses less digits than its factorization.

2948087616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 2948087616 is about 54296.2946802082. The cubic root of 2948087616 is about 1433.8821624702.

The spelling of 2948087616 in words is "two billion, nine hundred forty-eight million, eighty-seven thousand, six hundred sixteen".