2797262640 has 160 divisors (see below), whose sum is σ = 9724228800. Its totient is φ = 739093248.

The previous prime is 2797262621. The next prime is 2797262647. The reversal of 2797262640 is 462627972.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2797262647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25662906 + ... + 25663014.

It is an arithmetic number, because the mean of its divisors is an integer number (60776430).

Almost surely, 2^2797262640 is an apocalyptic number.

2797262640 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 2797262640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862114400).

2797262640 is an abundant number, since it is smaller than the sum of its proper divisors (6926966160).

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

2797262640 is an frugal number, since it uses more digits than its factorization.

2797262640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2797262640 is about 52889.1542757114. The cubic root of 2797262640 is about 1409.0002872809. Note that the first 3 decimals are identical.

The spelling of 2797262640 in words is "two billion, seven hundred ninety-seven million, two hundred sixty-two thousand, six hundred forty".