2634405062016 has 512 divisors, whose sum is σ = 9165791416320. Its totient is φ = 650569973760.

The previous prime is 2634405061949. The next prime is 2634405062063. The reversal of 2634405062016 is 6102605044362.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117016201 + ... + 117038711.

It is an arithmetic number, because the mean of its divisors is an integer number (17901936360).

Almost surely, 2^{2634405062016} is an apocalyptic number.

2634405062016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2634405062016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582895708160).

2634405062016 is an abundant number, since it is smaller than the sum of its proper divisors (6531386354304).

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

2634405062016 is a wasteful number, since it uses less digits than its factorization.

2634405062016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22762 (or 22750 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 2634405062016 in words is "two trillion, six hundred thirty-four billion, four hundred five million, sixty-two thousand, sixteen".