2619048960 has 264 divisors, whose sum is σ = 9901846656. Its totient is φ = 634798080.

The previous prime is 2619048937. The next prime is 2619048973. The reversal of 2619048960 is 698409162.

It is a happy number.

2619048960 is a `hidden beast` number, since 26 + 1 + 90 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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 23 ways as a sum of consecutive naturals, for example, 504297 + ... + 509463.

Almost surely, 2^2619048960 is an apocalyptic number.

2619048960 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 2619048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950923328).

2619048960 is an abundant number, since it is smaller than the sum of its proper divisors (7282797696).

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

2619048960 is a wasteful number, since it uses less digits than its factorization.

2619048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2619048960 is about 51176.6446731319. The cubic root of 2619048960 is about 1378.4188570151.

The spelling of 2619048960 in words is "two billion, six hundred nineteen million, forty-eight thousand, nine hundred sixty".