2651915500416 has 384 divisors, whose sum is σ = 9740070412800. Its totient is φ = 699405539328.

The previous prime is 2651915500387. The next prime is 2651915500489. The reversal of 2651915500416 is 6140055191562.

2651915500416 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 91 + 550 + 0 + 4 + 1 + 6 = 666.

2651915500416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2362005 + ... + 3298923.

It is an arithmetic number, because the mean of its divisors is an integer number (25364766700).

Almost surely, 2^{2651915500416} is an apocalyptic number.

2651915500416 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 2651915500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870035206400).

2651915500416 is an abundant number, since it is smaller than the sum of its proper divisors (7088154912384).

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

2651915500416 is an equidigital number, since it uses as much as digits as its factorization.

2651915500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936968 (or 936944 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 2651915500416 in words is "two trillion, six hundred fifty-one billion, nine hundred fifteen million, five hundred thousand, four hundred sixteen".