2791249440 has 96 divisors (see below), whose sum is σ = 10048510080. Its totient is φ = 637999104.

The previous prime is 2791249423. The next prime is 2791249441. The reversal of 2791249440 is 449421972.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2791249392 and 2791249401.

It is not an unprimeable number, because it can be changed into a prime (2791249441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412005 + ... + 418724.

It is an arithmetic number, because the mean of its divisors is an integer number (104671980).

Almost surely, 2^2791249440 is an apocalyptic number.

2791249440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2791249440 is an abundant number, since it is smaller than the sum of its proper divisors (7257260640).

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

2791249440 is a wasteful number, since it uses less digits than its factorization.

2791249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830754 (or 830746 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2791249440 is about 52832.2764983679. The cubic root of 2791249440 is about 1407.9899329945.

The spelling of 2791249440 in words is "two billion, seven hundred ninety-one million, two hundred forty-nine thousand, four hundred forty".