2496693534720 has 1920 divisors, whose sum is σ = 11016580608000. Its totient is φ = 475634073600.

The previous prime is 2496693534697. The next prime is 2496693534737. The reversal of 2496693534720 is 274353966942.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80538501105 + ... + 80538501135.

It is an arithmetic number, because the mean of its divisors is an integer number (5737802400).

Almost surely, 2^{2496693534720} is an apocalyptic number.

2496693534720 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 2496693534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508290304000).

2496693534720 is an abundant number, since it is smaller than the sum of its proper divisors (8519887073280).

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

2496693534720 is an equidigital number, since it uses as much as digits as its factorization.

2496693534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 60.

The spelling of 2496693534720 in words is "two trillion, four hundred ninety-six billion, six hundred ninety-three million, five hundred thirty-four thousand, seven hundred twenty".