2361972090816 has 224 divisors, whose sum is σ = 7550504299520. Its totient is φ = 719704009728.

The previous prime is 2361972090809. The next prime is 2361972090853. The reversal of 2361972090816 is 6180902791632.

2361972090816 is a `hidden beast` number, since 2 + 3 + 619 + 7 + 2 + 0 + 9 + 0 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1803381 + ... + 2824203.

It is an arithmetic number, because the mean of its divisors is an integer number (33707608480).

Almost surely, 2^{2361972090816} is an apocalyptic number.

2361972090816 is a gapful number since it is divisible by the number (26) 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 2361972090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775252149760).

2361972090816 is an abundant number, since it is smaller than the sum of its proper divisors (5188532208704).

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

2361972090816 is a wasteful number, since it uses less digits than its factorization.

2361972090816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020960 (or 1020944 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 2361972090816 in words is "two trillion, three hundred sixty-one billion, nine hundred seventy-two million, ninety thousand, eight hundred sixteen".