2968711900 has 144 divisors (see below), whose sum is σ = 8291469312. Its totient is φ = 895392000.

The previous prime is 2968711883. The next prime is 2968711939. The reversal of 2968711900 is 91178692.

It is a super-2 number, since 2×2968711900² = 17626500690403220000, 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 47 ways as a sum of consecutive naturals, for example, 232482 + ... + 244918.

It is an arithmetic number, because the mean of its divisors is an integer number (57579648).

Almost surely, 2^2968711900 is an apocalyptic number.

2968711900 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 2968711900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145734656).

2968711900 is an abundant number, since it is smaller than the sum of its proper divisors (5322757412).

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

2968711900 is a wasteful number, since it uses less digits than its factorization.

2968711900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12500 (or 12493 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 43.

The square root of 2968711900 is about 54485.8871635582. The cubic root of 2968711900 is about 1437.2181214158.

The spelling of 2968711900 in words is "two billion, nine hundred sixty-eight million, seven hundred eleven thousand, nine hundred".