2792562240 has 224 divisors, whose sum is σ = 10051816320. Its totient is φ = 651165696.

The previous prime is 2792562191. The next prime is 2792562251. The reversal of 2792562240 is 422652972.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 231232 + ... + 243008.

It is an arithmetic number, because the mean of its divisors is an integer number (44874180).

Almost surely, 2^2792562240 is an apocalyptic number.

2792562240 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 2792562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025908160).

2792562240 is an abundant number, since it is smaller than the sum of its proper divisors (7259254080).

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

2792562240 is a wasteful number, since it uses less digits than its factorization.

2792562240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11829 (or 11819 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2792562240 is about 52844.6992611369. The cubic root of 2792562240 is about 1408.2106369616.

The spelling of 2792562240 in words is "two billion, seven hundred ninety-two million, five hundred sixty-two thousand, two hundred forty".