2649418380 has 288 divisors, whose sum is σ = 9793405440. Its totient is φ = 565954560.

The previous prime is 2649418301. The next prime is 2649418381. The reversal of 2649418380 is 838149462.

It is a happy number.

2649418380 is a `hidden beast` number, since 2 + 6 + 494 + 1 + 83 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2649418381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3833835 + ... + 3834525.

It is an arithmetic number, because the mean of its divisors is an integer number (34004880).

Almost surely, 2^2649418380 is an apocalyptic number.

2649418380 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 2649418380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896702720).

2649418380 is an abundant number, since it is smaller than the sum of its proper divisors (7143987060).

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

2649418380 is a wasteful number, since it uses less digits than its factorization.

2649418380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2649418380 is about 51472.5012020982. The cubic root of 2649418380 is about 1383.7262557648.

The spelling of 2649418380 in words is "two billion, six hundred forty-nine million, four hundred eighteen thousand, three hundred eighty".