2002518722256 has 160 divisors (see below), whose sum is σ = 5895036026880. Its totient is φ = 580673318400.

The previous prime is 2002518722233. The next prime is 2002518722279. The reversal of 2002518722256 is 6522278152002.

It is an interprime number because it is at equal distance from previous prime (2002518722233) and next prime (2002518722279).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822341 + ... + 2706651.

It is an arithmetic number, because the mean of its divisors is an integer number (36843975168).

Almost surely, 2^{2002518722256} is an apocalyptic number.

2002518722256 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 2002518722256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947518013440).

2002518722256 is an abundant number, since it is smaller than the sum of its proper divisors (3892517304624).

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

2002518722256 is a wasteful number, since it uses less digits than its factorization.

2002518722256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884545 (or 884539 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 2002518722256 in words is "two trillion, two billion, five hundred eighteen million, seven hundred twenty-two thousand, two hundred fifty-six".