2897364038400 has 1296 divisors, whose sum is σ = 11663254337280. Its totient is φ = 707379609600.

The previous prime is 2897364038353. The next prime is 2897364038407. The reversal of 2897364038400 is 48304637982.

2897364038400 is a `hidden beast` number, since 2 + 89 + 73 + 64 + 0 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2897364038407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2810245885 + ... + 2810246915.

Almost surely, 2^{2897364038400} is an apocalyptic number.

2897364038400 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 2897364038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831627168640).

2897364038400 is an abundant number, since it is smaller than the sum of its proper divisors (8765890298880).

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

2897364038400 is a wasteful number, since it uses less digits than its factorization.

2897364038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2897364038400 in words is "two trillion, eight hundred ninety-seven billion, three hundred sixty-four million, thirty-eight thousand, four hundred".