10002097248 has 384 divisors, whose sum is σ = 32097461760. Its totient is φ = 2686894080.

The previous prime is 10002097223. The next prime is 10002097267. The reversal of 10002097248 is 84279020001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42927340 + ... + 42927572.

It is an arithmetic number, because the mean of its divisors is an integer number (83587140).

Almost surely, 2^10002097248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002097248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048730880).

10002097248 is an abundant number, since it is smaller than the sum of its proper divisors (22095364512).

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

10002097248 is a wasteful number, since it uses less digits than its factorization.

10002097248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 10002097248 in words is "ten billion, two million, ninety-seven thousand, two hundred forty-eight".