2612064000 has 864 divisors, whose sum is σ = 11203605504. Its totient is φ = 527155200.

The previous prime is 2612063983. The next prime is 2612064029. The reversal of 2612064000 is 4602162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113567989 + ... + 113568011.

It is an arithmetic number, because the mean of its divisors is an integer number (12967136).

Almost surely, 2^2612064000 is an apocalyptic number.

2612064000 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 2612064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601802752).

2612064000 is an abundant number, since it is smaller than the sum of its proper divisors (8591541504).

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

2612064000 is a wasteful number, since it uses less digits than its factorization.

2612064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2612064000 is about 51108.3554812714. The cubic root of 2612064000 is about 1377.1923592993.

Adding to 2612064000 its reverse (4602162), we get a palindrome (2616666162).

The spelling of 2612064000 in words is "two billion, six hundred twelve million, sixty-four thousand".