2493490728960 has 1872 divisors, whose sum is σ = 11236058900352. Its totient is φ = 515978035200.

The previous prime is 2493490728931. The next prime is 2493490728991. The reversal of 2493490728960 is 698270943942.

2493490728960 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 490 + 7 + 2 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10346434440 + ... + 10346434680.

It is an arithmetic number, because the mean of its divisors is an integer number (6002168216).

Almost surely, 2^{2493490728960} is an apocalyptic number.

2493490728960 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 2493490728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618029450176).

2493490728960 is an abundant number, since it is smaller than the sum of its proper divisors (8742568171392).

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

2493490728960 is an frugal number, since it uses more digits than its factorization.

2493490728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 2493490728960 in words is "two trillion, four hundred ninety-three billion, four hundred ninety million, seven hundred twenty-eight thousand, nine hundred sixty".