2197456015440 has 1280 divisors, whose sum is σ = 8823035289600. Its totient is φ = 441057705984.

The previous prime is 2197456015373. The next prime is 2197456015451. The reversal of 2197456015440 is 445106547912.

It is a super-3 number, since 3×2197456015440³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2197456015440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2842762894 + ... + 2842763666.

It is an arithmetic number, because the mean of its divisors is an integer number (6892996320).

Almost surely, 2^{2197456015440} is an apocalyptic number.

2197456015440 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 2197456015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411517644800).

2197456015440 is an abundant number, since it is smaller than the sum of its proper divisors (6625579274160).

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

2197456015440 is a wasteful number, since it uses less digits than its factorization.

2197456015440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 2197456015440 in words is "two trillion, one hundred ninety-seven billion, four hundred fifty-six million, fifteen thousand, four hundred forty".