2758979496 has 320 divisors, whose sum is σ = 9034905600. Its totient is φ = 697019904.

The previous prime is 2758979479. The next prime is 2758979519. The reversal of 2758979496 is 6949798572.

2758979496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2758979496² = 15223935718696828032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21724185 + ... + 21724311.

It is an arithmetic number, because the mean of its divisors is an integer number (28234080).

Almost surely, 2^2758979496 is an apocalyptic number.

2758979496 is a gapful number since it is divisible by the number (26) 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 2758979496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517452800).

2758979496 is an abundant number, since it is smaller than the sum of its proper divisors (6275926104).

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

2758979496 is a wasteful number, since it uses less digits than its factorization.

2758979496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 66.

The square root of 2758979496 is about 52525.9887674663. The cubic root of 2758979496 is about 1402.5429116798.

The spelling of 2758979496 in words is "two billion, seven hundred fifty-eight million, nine hundred seventy-nine thousand, four hundred ninety-six".