2193897062400 has 768 divisors, whose sum is σ = 7781783184000. Its totient is φ = 543959285760.

The previous prime is 2193897062381. The next prime is 2193897062471. The reversal of 2193897062400 is 42607983912.

It is a tau number, because it is divible by the number of its divisors (768).

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, 2091417076 + ... + 2091418124.

Almost surely, 2^{2193897062400} is an apocalyptic number.

2193897062400 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 2193897062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890891592000).

2193897062400 is an abundant number, since it is smaller than the sum of its proper divisors (5587886121600).

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

2193897062400 is a wasteful number, since it uses less digits than its factorization.

2193897062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 2193897062400 in words is "two trillion, one hundred ninety-three billion, eight hundred ninety-seven million, sixty-two thousand, four hundred".