2669284800 has 1008 divisors, whose sum is σ = 12315565920. Its totient is φ = 557383680.

The previous prime is 2669284799. The next prime is 2669284811. The reversal of 2669284800 is 84829662.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2669284800² = 14250162687022080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27518352 + ... + 27518448.

Almost surely, 2^2669284800 is an apocalyptic number.

2669284800 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 2669284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157782960).

2669284800 is an abundant number, since it is smaller than the sum of its proper divisors (9646281120).

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

2669284800 is a wasteful number, since it uses less digits than its factorization.

2669284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2669284800 is about 51665.1216973308. The cubic root of 2669284800 is about 1387.1762283255.

The spelling of 2669284800 in words is "two billion, six hundred sixty-nine million, two hundred eighty-four thousand, eight hundred".