2661949186200 has 336 divisors, whose sum is σ = 9530114192880. Its totient is φ = 690666497280.

The previous prime is 2661949186181. The next prime is 2661949186217. The reversal of 2661949186200 is 26819491662.

2661949186200 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 9 + 4 + 9 + 1 + 8 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5147877 + ... + 5641323.

Almost surely, 2^{2661949186200} is an apocalyptic number.

2661949186200 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 2661949186200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765057096440).

2661949186200 is an abundant number, since it is smaller than the sum of its proper divisors (6868165006680).

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

2661949186200 is a wasteful number, since it uses less digits than its factorization.

2661949186200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493518 (or 493494 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 2661949186200 in words is "two trillion, six hundred sixty-one billion, nine hundred forty-nine million, one hundred eighty-six thousand, two hundred".