2927072401920 has 320 divisors, whose sum is σ = 10525585783680. Its totient is φ = 780551147520.

The previous prime is 2927072401867. The next prime is 2927072401921. The reversal of 2927072401920 is 291042707292.

It is a happy number.

2927072401920 is a `hidden beast` number, since 2 + 92 + 7 + 0 + 72 + 401 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (2927072401921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5337315 + ... + 5860125.

It is an arithmetic number, because the mean of its divisors is an integer number (32892455574).

Almost surely, 2^{2927072401920} is an apocalyptic number.

2927072401920 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 2927072401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262792891840).

2927072401920 is an abundant number, since it is smaller than the sum of its proper divisors (7598513381760).

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

2927072401920 is an frugal number, since it uses more digits than its factorization.

2927072401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522855 (or 522821 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 2927072401920 in words is "two trillion, nine hundred twenty-seven billion, seventy-two million, four hundred one thousand, nine hundred twenty".