2651088311872 has 672 divisors, whose sum is σ = 7345613675520. Its totient is φ = 921146204160.

The previous prime is 2651088311803. The next prime is 2651088311873. The reversal of 2651088311872 is 2781138801562.

It is a super-2 number, since 2×2651088311872² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (2651088311873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6994955779 + ... + 6994956157.

Almost surely, 2^{2651088311872} is an apocalyptic number.

2651088311872 is a gapful number since it is divisible by the number (22) 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 2651088311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672806837760).

2651088311872 is an abundant number, since it is smaller than the sum of its proper divisors (4694525363648).

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

2651088311872 is a wasteful number, since it uses less digits than its factorization.

2651088311872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 52.

The spelling of 2651088311872 in words is "two trillion, six hundred fifty-one billion, eighty-eight million, three hundred eleven thousand, eight hundred seventy-two".