2916891648 has 440 divisors, whose sum is σ = 9986739840. Its totient is φ = 839393280.

The previous prime is 2916891631. The next prime is 2916891673. The reversal of 2916891648 is 8461986192.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2916891594 and 2916891603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20984763 + ... + 20984901.

It is an arithmetic number, because the mean of its divisors is an integer number (22697136).

Almost surely, 2^2916891648 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 2916891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993369920).

2916891648 is an abundant number, since it is smaller than the sum of its proper divisors (7069848192).

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

2916891648 is a wasteful number, since it uses less digits than its factorization.

2916891648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 178 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 2916891648 is about 54008.2553689711. The cubic root of 2916891648 is about 1428.8065495215.

The spelling of 2916891648 in words is "two billion, nine hundred sixteen million, eight hundred ninety-one thousand, six hundred forty-eight".