2361013401600 has 1440 divisors, whose sum is σ = 10074420195840. Its totient is φ = 535327211520.

The previous prime is 2361013401599. The next prime is 2361013401653. The reversal of 2361013401600 is 61043101632.

2361013401600 is a `hidden beast` number, since 2 + 3 + 6 + 1 + 0 + 13 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4848076557 + ... + 4848077043.

It is an arithmetic number, because the mean of its divisors is an integer number (6996125136).

Almost surely, 2^{2361013401600} is an apocalyptic number.

2361013401600 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 2361013401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037210097920).

2361013401600 is an abundant number, since it is smaller than the sum of its proper divisors (7713406794240).

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

2361013401600 is a wasteful number, since it uses less digits than its factorization.

2361013401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 2361013401600 in words is "two trillion, three hundred sixty-one billion, thirteen million, four hundred one thousand, six hundred".