2668139100 has 216 divisors, whose sum is σ = 9179985360. Its totient is φ = 642816000.

The previous prime is 2668139077. The next prime is 2668139101. The reversal of 2668139100 is 19318662.

2668139100 = T₅₃₃₉ + T₅₃₄₀ + ... + T₅₅₁₉.

2668139100 is a `hidden beast` number, since 266 + 8 + 1 + 391 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668139101) 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, 1791156 + ... + 1792644.

Almost surely, 2^2668139100 is an apocalyptic number.

2668139100 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 2668139100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589992680).

2668139100 is an abundant number, since it is smaller than the sum of its proper divisors (6511846260).

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

2668139100 is a wasteful number, since it uses less digits than its factorization.

2668139100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2668139100 is about 51654.0327564073. The cubic root of 2668139100 is about 1386.9777338022.

The spelling of 2668139100 in words is "two billion, six hundred sixty-eight million, one hundred thirty-nine thousand, one hundred".