2764698048 has 448 divisors, whose sum is σ = 9816023040. Its totient is φ = 746496000.

The previous prime is 2764698011. The next prime is 2764698067. The reversal of 2764698048 is 8408964672.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 2764697985 and 2764698003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27373198 + ... + 27373298.

Almost surely, 2^2764698048 is an apocalyptic number.

2764698048 is a gapful number since it is divisible by the number (28) 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 2764698048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908011520).

2764698048 is an abundant number, since it is smaller than the sum of its proper divisors (7051324992).

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

2764698048 is a wasteful number, since it uses less digits than its factorization.

2764698048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2764698048 is about 52580.3960426317. The cubic root of 2764698048 is about 1403.5112624255.

The spelling of 2764698048 in words is "two billion, seven hundred sixty-four million, six hundred ninety-eight thousand, forty-eight".