2611612800 has 384 divisors, whose sum is σ = 9668131200. Its totient is φ = 688435200.

The previous prime is 2611612781. The next prime is 2611612831. The reversal of 2611612800 is 82161162.

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

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

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, 14428710 + ... + 14428890.

It is an arithmetic number, because the mean of its divisors is an integer number (25177425).

Almost surely, 2^2611612800 is an apocalyptic number.

2611612800 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 2611612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834065600).

2611612800 is an abundant number, since it is smaller than the sum of its proper divisors (7056518400).

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

2611612800 is a wasteful number, since it uses less digits than its factorization.

2611612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2611612800 is about 51103.9411396029. The cubic root of 2611612800 is about 1377.1130573915.

Adding to 2611612800 its reverse (82161162), we get a palindrome (2693773962).

The spelling of 2611612800 in words is "two billion, six hundred eleven million, six hundred twelve thousand, eight hundred".