2648932551216 has 720 divisors, whose sum is σ = 9199600518240. Its totient is φ = 727603430400.

The previous prime is 2648932551203. The next prime is 2648932551269. The reversal of 2648932551216 is 6121552398462.

2648932551216 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 93 + 25 + 512 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4007461926 + ... + 4007462586.

It is an arithmetic number, because the mean of its divisors is an integer number (12777222942).

Almost surely, 2^{2648932551216} 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 2648932551216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599800259120).

2648932551216 is an abundant number, since it is smaller than the sum of its proper divisors (6550667967024).

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

2648932551216 is a wasteful number, since it uses less digits than its factorization.

2648932551216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 901 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 2648932551216 in words is "two trillion, six hundred forty-eight billion, nine hundred thirty-two million, five hundred fifty-one thousand, two hundred sixteen".