2670465600 has 504 divisors, whose sum is σ = 10819253952. Its totient is φ = 618393600.

The previous prime is 2670465583. The next prime is 2670465601. The reversal of 2670465600 is 65640762.

2670465600 is a `hidden beast` number, since 2 + 6 + 7 + 0 + 46 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2670465601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3642834 + ... + 3643566.

Almost surely, 2^2670465600 is an apocalyptic number.

2670465600 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 2670465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409626976).

2670465600 is an abundant number, since it is smaller than the sum of its proper divisors (8148788352).

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

2670465600 is a wasteful number, since it uses less digits than its factorization.

2670465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2670465600 is about 51676.5478723183. The cubic root of 2670465600 is about 1387.3807445592.

The spelling of 2670465600 in words is "two billion, six hundred seventy million, four hundred sixty-five thousand, six hundred".