2761879680000 has 2640 divisors, whose sum is σ = 12290347829760. Its totient is φ = 606154752000.

The previous prime is 2761879679981. The next prime is 2761879680019. The reversal of 2761879680000 is 869781672.

It is an interprime number because it is at equal distance from previous prime (2761879679981) and next prime (2761879680019).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 46811519971 + ... + 46811520029.

It is an arithmetic number, because the mean of its divisors is an integer number (4655434784).

Almost surely, 2^{2761879680000} is an apocalyptic number.

2761879680000 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 2761879680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145173914880).

2761879680000 is an abundant number, since it is smaller than the sum of its proper divisors (9528468149760).

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

2761879680000 is an frugal number, since it uses more digits than its factorization.

2761879680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 2761879680000 in words is "two trillion, seven hundred sixty-one billion, eight hundred seventy-nine million, six hundred eighty thousand".