2651616000 has 864 divisors, whose sum is σ = 11142383616. Its totient is φ = 622080000.

The previous prime is 2651615971. The next prime is 2651616007. The reversal of 2651616000 is 6161562.

It is a happy number.

2651616000 is a `hidden beast` number, since 2 + 6 + 51 + 6 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2651616000² = 14062134822912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2651616007) 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, 85535985 + ... + 85536015.

Almost surely, 2^2651616000 is an apocalyptic number.

2651616000 is a gapful number since it is divisible by the number (20) 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 2651616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571191808).

2651616000 is an abundant number, since it is smaller than the sum of its proper divisors (8490767616).

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

2651616000 is an equidigital number, since it uses as much as digits as its factorization.

2651616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2651616000 is about 51493.8442923035. The cubic root of 2651616000 is about 1384.1087377115.

Adding to 2651616000 its reverse (6161562), we get a palindrome (2657777562).

The spelling of 2651616000 in words is "two billion, six hundred fifty-one million, six hundred sixteen thousand".