2791429440 has 224 divisors, whose sum is σ = 9152631936. Its totient is φ = 720445440.

The previous prime is 2791429429. The next prime is 2791429463. The reversal of 2791429440 is 449241972.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2791429392 and 2791429401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4222710 + ... + 4223370.

It is an arithmetic number, because the mean of its divisors is an integer number (40859964).

Almost surely, 2^2791429440 is an apocalyptic number.

2791429440 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 2791429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576315968).

2791429440 is an abundant number, since it is smaller than the sum of its proper divisors (6361202496).

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

2791429440 is a wasteful number, since it uses less digits than its factorization.

2791429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 807 counting only the distinct ones).

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

The square root of 2791429440 is about 52833.9799750123. The cubic root of 2791429440 is about 1408.0201981434.

The spelling of 2791429440 in words is "two billion, seven hundred ninety-one million, four hundred twenty-nine thousand, four hundred forty".