2364151563840 has 448 divisors, whose sum is σ = 8358008094720. Its totient is φ = 561306869760.

The previous prime is 2364151563811. The next prime is 2364151563869. The reversal of 2364151563840 is 483651514632.

It is an interprime number because it is at equal distance from previous prime (2364151563811) and next prime (2364151563869).

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 2364151563840.

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, 339722281 + ... + 339729239.

Almost surely, 2^{2364151563840} is an apocalyptic number.

2364151563840 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 2364151563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179004047360).

2364151563840 is an abundant number, since it is smaller than the sum of its proper divisors (5993856530880).

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

2364151563840 is a wasteful number, since it uses less digits than its factorization.

2364151563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 2364151563840 in words is "two trillion, three hundred sixty-four billion, one hundred fifty-one million, five hundred sixty-three thousand, eight hundred forty".