2791506240 has 168 divisors, whose sum is σ = 9957511200. Its totient is φ = 744380928.

The previous prime is 2791506229. The next prime is 2791506283. The reversal of 2791506240 is 426051972.

2791506240 is a `hidden beast` number, since 27 + 9 + 1 + 5 + 0 + 624 + 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 = 2791506195 and 2791506204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59811 + ... + 95709.

It is an arithmetic number, because the mean of its divisors is an integer number (59270900).

Almost surely, 2^2791506240 is an apocalyptic number.

2791506240 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 2791506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978755600).

2791506240 is an abundant number, since it is smaller than the sum of its proper divisors (7166004960).

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

2791506240 is an equidigital number, since it uses as much as digits as its factorization.

2791506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35931 (or 35909 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2791506240 is about 52834.7067749978. The cubic root of 2791506240 is about 1408.0331108777.

It can be divided in two parts, 279150 and 6240, that added together give a triangular number (285390 = T₇₅₅).

The spelling of 2791506240 in words is "two billion, seven hundred ninety-one million, five hundred six thousand, two hundred forty".