2762828640 has 288 divisors, whose sum is σ = 11077256736. Its totient is φ = 618209280.

The previous prime is 2762828633. The next prime is 2762828657. The reversal of 2762828640 is 468282672.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199212 + ... + 212628.

It is an arithmetic number, because the mean of its divisors is an integer number (38462697).

Almost surely, 2^2762828640 is an apocalyptic number.

2762828640 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 2762828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538628368).

2762828640 is an abundant number, since it is smaller than the sum of its proper divisors (8314428096).

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

2762828640 is a wasteful number, since it uses less digits than its factorization.

2762828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13462 (or 13451 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2762828640 is about 52562.6163732362. The cubic root of 2762828640 is about 1403.1948533369.

The spelling of 2762828640 in words is "two billion, seven hundred sixty-two million, eight hundred twenty-eight thousand, six hundred forty".