2792214323640 has 512 divisors, whose sum is σ = 10708514150400. Its totient is φ = 633942650880.

The previous prime is 2792214323557. The next prime is 2792214323651. The reversal of 2792214323640 is 463234122972.

2792214323640 is a `hidden beast` number, since 2 + 79 + 2 + 214 + 3 + 2 + 364 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 984212302 + ... + 984215138.

It is an arithmetic number, because the mean of its divisors is an integer number (20915066700).

Almost surely, 2^{2792214323640} is an apocalyptic number.

2792214323640 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 2792214323640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354257075200).

2792214323640 is an abundant number, since it is smaller than the sum of its proper divisors (7916299826760).

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

2792214323640 is a wasteful number, since it uses less digits than its factorization.

2792214323640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2792214323640 in words is "two trillion, seven hundred ninety-two billion, two hundred fourteen million, three hundred twenty-three thousand, six hundred forty".