2986398720 has 440 divisors, whose sum is σ = 11294527200. Its totient is φ = 752467968.

The previous prime is 2986398707. The next prime is 2986398749. The reversal of 2986398720 is 278936892.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7879491 + ... + 7879869.

It is an arithmetic number, because the mean of its divisors is an integer number (25669380).

Almost surely, 2^2986398720 is an apocalyptic number.

2986398720 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 2986398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647263600).

2986398720 is an abundant number, since it is smaller than the sum of its proper divisors (8308128480).

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

2986398720 is a wasteful number, since it uses less digits than its factorization.

2986398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2986398720 is about 54647.9525691494. The cubic root of 2986398720 is about 1440.0666635805.

The spelling of 2986398720 in words is "two billion, nine hundred eighty-six million, three hundred ninety-eight thousand, seven hundred twenty".