2967980400 has 960 divisors, whose sum is σ = 13639127040. Its totient is φ = 595123200.

The previous prime is 2967980399. The next prime is 2967980413. The reversal of 2967980400 is 40897692.

It is a happy number.

2967980400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35758759 + ... + 35758841.

It is an arithmetic number, because the mean of its divisors is an integer number (14207424).

Almost surely, 2^2967980400 is an apocalyptic number.

2967980400 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 2967980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819563520).

2967980400 is an abundant number, since it is smaller than the sum of its proper divisors (10671146640).

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

2967980400 is a wasteful number, since it uses less digits than its factorization.

2967980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2967980400 is about 54479.1740025489. The cubic root of 2967980400 is about 1437.1000666889.

The spelling of 2967980400 in words is "two billion, nine hundred sixty-seven million, nine hundred eighty thousand, four hundred".