2967202448 has 160 divisors (see below), whose sum is σ = 7028121600. Its totient is φ = 1211656320.

The previous prime is 2967202421. The next prime is 2967202471. The reversal of 2967202448 is 8442027692.

2967202448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2967202399 and 2967202408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18203615 + ... + 18203777.

It is an arithmetic number, because the mean of its divisors is an integer number (43925760).

Almost surely, 2^2967202448 is an apocalyptic number.

2967202448 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 2967202448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514060800).

2967202448 is an abundant number, since it is smaller than the sum of its proper divisors (4060919152).

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

2967202448 is a wasteful number, since it uses less digits than its factorization.

2967202448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 2967202448 is about 54472.0336319473. The cubic root of 2967202448 is about 1436.9744939182.

The spelling of 2967202448 in words is "two billion, nine hundred sixty-seven million, two hundred two thousand, four hundred forty-eight".