2097461253888 has 2592 divisors, whose sum is σ = 8885776220160. Its totient is φ = 482833612800.

The previous prime is 2097461253851. The next prime is 2097461253907. The reversal of 2097461253888 is 8883521647902.

2097461253888 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 4 + 6 + 12 + 538 + 88 = 666.

It is a super-2 number, since 2×2097461253888² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16515442881 + ... + 16515443007.

It is a 1-persistent number, because it is pandigital, but 2⋅2097461253888 = 4194922507776 is not.

Almost surely, 2^{2097461253888} is an apocalyptic number.

2097461253888 is a gapful number since it is divisible by the number (28) 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 2097461253888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442888110080).

2097461253888 is an abundant number, since it is smaller than the sum of its proper divisors (6788314966272).

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

2097461253888 is a wasteful number, since it uses less digits than its factorization.

2097461253888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2097461253888 in words is "two trillion, ninety-seven billion, four hundred sixty-one million, two hundred fifty-three thousand, eight hundred eighty-eight".