2684619840 has 448 divisors, whose sum is σ = 10299801600. Its totient is φ = 591575040.

The previous prime is 2684619827. The next prime is 2684619857. The reversal of 2684619840 is 489164862.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2684619840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10207549 + ... + 10207811.

Almost surely, 2^2684619840 is an apocalyptic number.

2684619840 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 2684619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149900800).

2684619840 is an abundant number, since it is smaller than the sum of its proper divisors (7615181760).

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

2684619840 is a wasteful number, since it uses less digits than its factorization.

2684619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 2684619840 is about 51813.3172070656. The cubic root of 2684619840 is about 1389.8275996869.

The spelling of 2684619840 in words is "two billion, six hundred eighty-four million, six hundred nineteen thousand, eight hundred forty".