2719920780 has 288 divisors, whose sum is σ = 9204668928. Its totient is φ = 646963200.

The previous prime is 2719920769. The next prime is 2719920787. The reversal of 2719920780 is 870299172.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2719920787) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5027310 + ... + 5027850.

It is an arithmetic number, because the mean of its divisors is an integer number (31960656).

Almost surely, 2^2719920780 is an apocalyptic number.

2719920780 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 2719920780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602334464).

2719920780 is an abundant number, since it is smaller than the sum of its proper divisors (6484748148).

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

2719920780 is a wasteful number, since it uses less digits than its factorization.

2719920780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 2719920780 is about 52152.8597490109. The cubic root of 2719920780 is about 1395.8928573255.

The spelling of 2719920780 in words is "two billion, seven hundred nineteen million, nine hundred twenty thousand, seven hundred eighty".