2649563136 has 336 divisors, whose sum is σ = 8730435168. Its totient is φ = 802897920.

The previous prime is 2649563107. The next prime is 2649563141. The reversal of 2649563136 is 6313659462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2649563136 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 5 + 631 + 3 + 6 = 666.

Its product of digits (699840) is a multiple of the sum of its prime divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 2649563091 and 2649563100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240869371 + ... + 240869381.

It is an arithmetic number, because the mean of its divisors is an integer number (25983438).

Almost surely, 2^2649563136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2649563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365217584).

2649563136 is an abundant number, since it is smaller than the sum of its proper divisors (6080872032).

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

2649563136 is an frugal number, since it uses more digits than its factorization.

2649563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 16 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 2649563136 is about 51473.9073317734. The cubic root of 2649563136 is about 1383.7514561423.

The spelling of 2649563136 in words is "two billion, six hundred forty-nine million, five hundred sixty-three thousand, one hundred thirty-six".