2661170400 has 648 divisors, whose sum is σ = 11519497080. Its totient is φ = 574801920.

The previous prime is 2661170371. The next prime is 2661170483. The reversal of 2661170400 is 40711662.

2661170400 is a `hidden beast` number, since 2 + 6 + 611 + 7 + 0 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6703002 + ... + 6703398.

Almost surely, 2^2661170400 is an apocalyptic number.

2661170400 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 2661170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759748540).

2661170400 is an abundant number, since it is smaller than the sum of its proper divisors (8858326680).

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

2661170400 is a wasteful number, since it uses less digits than its factorization.

2661170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2661170400 is about 51586.5331263887. The cubic root of 2661170400 is about 1385.7691687821.

The spelling of 2661170400 in words is "two billion, six hundred sixty-one million, one hundred seventy thousand, four hundred".