2916972648 has 80 divisors (see below), whose sum is σ = 8193636000. Its totient is φ = 969538464.

The previous prime is 2916972647. The next prime is 2916972649. The reversal of 2916972648 is 8462796192.

2916972648 is a `hidden beast` number, since 291 + 6 + 97 + 264 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2916972647) and next prime (2916972649).

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

It is a junction number, because it is equal to n+sod(n) for n = 2916972594 and 2916972603.

It is not an unprimeable number, because it can be changed into a prime (2916972647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 226363 + ... + 238901.

It is an arithmetic number, because the mean of its divisors is an integer number (102420450).

Almost surely, 2^2916972648 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 2916972648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096818000).

2916972648 is an abundant number, since it is smaller than the sum of its proper divisors (5276663352).

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

2916972648 is a wasteful number, since it uses less digits than its factorization.

2916972648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12916 (or 12903 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2916972648 is about 54009.0052491249. The cubic root of 2916972648 is about 1428.8197750453.

The spelling of 2916972648 in words is "two billion, nine hundred sixteen million, nine hundred seventy-two thousand, six hundred forty-eight".