2618861440 has 128 divisors (see below), whose sum is σ = 6870679200. Its totient is φ = 948559872.

The previous prime is 2618861423. The next prime is 2618861471. The reversal of 2618861440 is 441688162.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2618861393 and 2618861402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437991 + ... + 443929.

Almost surely, 2^2618861440 is an apocalyptic number.

2618861440 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 2618861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435339600).

2618861440 is an abundant number, since it is smaller than the sum of its proper divisors (4251817760).

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

2618861440 is a wasteful number, since it uses less digits than its factorization.

2618861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6024 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 2618861440 is about 51174.8125546152. The cubic root of 2618861440 is about 1378.3859586517.

The spelling of 2618861440 in words is "two billion, six hundred eighteen million, eight hundred sixty-one thousand, four hundred forty".