2764618948 has 72 divisors (see below), whose sum is σ = 6339658752. Its totient is φ = 1029330432.

The previous prime is 2764618943. The next prime is 2764618949. The reversal of 2764618948 is 8498164672.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2764618943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63261 + ... + 97627.

It is an arithmetic number, because the mean of its divisors is an integer number (88050816).

Almost surely, 2^2764618948 is an apocalyptic number.

2764618948 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 2764618948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169829376).

2764618948 is an abundant number, since it is smaller than the sum of its proper divisors (3575039804).

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

2764618948 is a wasteful number, since it uses less digits than its factorization.

2764618948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34421 (or 34406 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 55.

The square root of 2764618948 is about 52579.6438557737. The cubic root of 2764618948 is about 1403.4978771422.

The spelling of 2764618948 in words is "two billion, seven hundred sixty-four million, six hundred eighteen thousand, nine hundred forty-eight".