2791203840 has 352 divisors, whose sum is σ = 10112507520. Its totient is φ = 729907200.

The previous prime is 2791203787. The next prime is 2791203851. The reversal of 2791203840 is 483021972.

2791203840 is a `hidden beast` number, since 279 + 1 + 2 + 0 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2791203795 and 2791203804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8432475 + ... + 8432805.

Almost surely, 2^2791203840 is an apocalyptic number.

2791203840 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 2791203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056253760).

2791203840 is an abundant number, since it is smaller than the sum of its proper divisors (7321303680).

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

2791203840 is a wasteful number, since it uses less digits than its factorization.

2791203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2791203840 is about 52831.8449422316. The cubic root of 2791203840 is about 1407.9822656168.

The spelling of 2791203840 in words is "two billion, seven hundred ninety-one million, two hundred three thousand, eight hundred forty".