2968529141760 has 1408 divisors, whose sum is σ = 12582103693824. Its totient is φ = 579820584960.

The previous prime is 2968529141723. The next prime is 2968529141761. The reversal of 2968529141760 is 671419258692.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2968529141694 and 2968529141703.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 19520 × 17472 × 8704.

It is not an unprimeable number, because it can be changed into a prime (2968529141761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48664412130 + ... + 48664412190.

Almost surely, 2^{2968529141760} is an apocalyptic number.

2968529141760 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 2968529141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291051846912).

2968529141760 is an abundant number, since it is smaller than the sum of its proper divisors (9613574552064).

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

2968529141760 is an frugal number, since it uses more digits than its factorization.

2968529141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 2968529141760 in words is "two trillion, nine hundred sixty-eight billion, five hundred twenty-nine million, one hundred forty-one thousand, seven hundred sixty".