2928762911340 has 768 divisors, whose sum is σ = 11139448320000. Its totient is φ = 637844336640.

The previous prime is 2928762911329. The next prime is 2928762911407. The reversal of 2928762911340 is 431192678292.

2928762911340 is a `hidden beast` number, since 2 + 9 + 2 + 8 + 7 + 6 + 291 + 1 + 340 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 326538376 + ... + 326547344.

It is an arithmetic number, because the mean of its divisors is an integer number (14504490000).

Almost surely, 2^{2928762911340} is an apocalyptic number.

2928762911340 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 2928762911340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569724160000).

2928762911340 is an abundant number, since it is smaller than the sum of its proper divisors (8210685408660).

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

2928762911340 is a wasteful number, since it uses less digits than its factorization.

2928762911340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2928762911340 in words is "two trillion, nine hundred twenty-eight billion, seven hundred sixty-two million, nine hundred eleven thousand, three hundred forty".