2649103189920 has 384 divisors, whose sum is σ = 10647116928000. Its totient is φ = 608406266880.

The previous prime is 2649103189891. The next prime is 2649103189963. The reversal of 2649103189920 is 299813019462.

2649103189920 is a `hidden beast` number, since 26 + 491 + 0 + 31 + 89 + 9 + 20 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 564150 + ... + 2369909.

It is an arithmetic number, because the mean of its divisors is an integer number (27726867000).

Almost surely, 2^{2649103189920} is an apocalyptic number.

2649103189920 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 2649103189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323558464000).

2649103189920 is an abundant number, since it is smaller than the sum of its proper divisors (7998013738080).

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

2649103189920 is a wasteful number, since it uses less digits than its factorization.

2649103189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934113 (or 2934099 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 2649103189920 in words is "two trillion, six hundred forty-nine billion, one hundred three million, one hundred eighty-nine thousand, nine hundred twenty".