2795748480 has 512 divisors, whose sum is σ = 11721024000. Its totient is φ = 616218624.

The previous prime is 2795748457. The next prime is 2795748491. The reversal of 2795748480 is 848475972.

It is a happy number.

2795748480 is a `hidden beast` number, since 2 + 7 + 95 + 74 + 8 + 480 = 666.

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

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, 3507442 + ... + 3508238.

It is an arithmetic number, because the mean of its divisors is an integer number (22892625).

Almost surely, 2^2795748480 is an apocalyptic number.

2795748480 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 2795748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860512000).

2795748480 is an abundant number, since it is smaller than the sum of its proper divisors (8925275520).

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

2795748480 is a wasteful number, since it uses less digits than its factorization.

2795748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 2795748480 is about 52874.8378720919. The cubic root of 2795748480 is about 1408.7460104858.

The spelling of 2795748480 in words is "two billion, seven hundred ninety-five million, seven hundred forty-eight thousand, four hundred eighty".