2631498057216 has 900 divisors, whose sum is σ = 9301664127492. Its totient is φ = 741557182464.

The previous prime is 2631498057203. The next prime is 2631498057257. The reversal of 2631498057216 is 6127508941362.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2631498057216 is a `hidden beast` number, since 2 + 63 + 1 + 4 + 9 + 8 + 0 + 572 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 36047918556 + ... + 36047918628.

It is a 1-persistent number, because it is pandigital, but 2⋅2631498057216 = 5262996114432 is not.

Almost surely, 2^{2631498057216} 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 2631498057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650832063746).

2631498057216 is an abundant number, since it is smaller than the sum of its proper divisors (6670166070276).

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

2631498057216 is an frugal number, since it uses more digits than its factorization.

2631498057216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

Multiplying 2631498057216 by its sum of digits (54), we get a square (142100895089664 = 11920608²).

2631498057216 divided by its sum of digits (54) gives a square (48731445504 = 220752²).

The spelling of 2631498057216 in words is "two trillion, six hundred thirty-one billion, four hundred ninety-eight million, fifty-seven thousand, two hundred sixteen".