2978564400 has 600 divisors, whose sum is σ = 12770444544. Its totient is φ = 650073600.

The previous prime is 2978564389. The next prime is 2978564429. The reversal of 2978564400 is 44658792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 5216115 + ... + 5216685.

Almost surely, 2^2978564400 is an apocalyptic number.

2978564400 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 2978564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385222272).

2978564400 is an abundant number, since it is smaller than the sum of its proper divisors (9791880144).

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

2978564400 is a wasteful number, since it uses less digits than its factorization.

2978564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2978564400 is about 54576.2255932013. The cubic root of 2978564400 is about 1438.8063024165.

The spelling of 2978564400 in words is "two billion, nine hundred seventy-eight million, five hundred sixty-four thousand, four hundred".