2653940916 has 288 divisors, whose sum is σ = 8043840000. Its totient is φ = 754871040.

The previous prime is 2653940911. The next prime is 2653940959. The reversal of 2653940916 is 6190493562.

2653940916 is a `hidden beast` number, since 26 + 539 + 4 + 0 + 91 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653940911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17811610 + ... + 17811758.

It is an arithmetic number, because the mean of its divisors is an integer number (27930000).

Almost surely, 2^2653940916 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 2653940916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920000).

2653940916 is an abundant number, since it is smaller than the sum of its proper divisors (5389899084).

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

2653940916 is a wasteful number, since it uses less digits than its factorization.

2653940916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2653940916 is about 51516.4140444577. The cubic root of 2653940916 is about 1384.5131447499.

The spelling of 2653940916 in words is "two billion, six hundred fifty-three million, nine hundred forty thousand, nine hundred sixteen".