2616991920 has 240 divisors, whose sum is σ = 8991091200. Its totient is φ = 682007040.

The previous prime is 2616991873. The next prime is 2616991991. The reversal of 2616991920 is 291996162.

2616991920 is a `hidden beast` number, since 2 + 616 + 9 + 9 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7906155 + ... + 7906485.

It is an arithmetic number, because the mean of its divisors is an integer number (37462880).

Almost surely, 2^2616991920 is an apocalyptic number.

2616991920 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 2616991920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495545600).

2616991920 is an abundant number, since it is smaller than the sum of its proper divisors (6374099280).

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

2616991920 is a wasteful number, since it uses less digits than its factorization.

2616991920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 2616991920 is about 51156.5432764959. The cubic root of 2616991920 is about 1378.0578856051.

The spelling of 2616991920 in words is "two billion, six hundred sixteen million, nine hundred ninety-one thousand, nine hundred twenty".