2496960205740 has 1152 divisors, whose sum is σ = 10850024908800. Its totient is φ = 462384599040.

The previous prime is 2496960205709. The next prime is 2496960205759. The reversal of 2496960205740 is 475020696942.

2496960205740 is a `hidden beast` number, since 2 + 4 + 9 + 6 + 9 + 60 + 2 + 0 + 574 + 0 = 666.

2496960205740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 383 ways as a sum of consecutive naturals, for example, 203777454 + ... + 203789706.

It is an arithmetic number, because the mean of its divisors is an integer number (9418424400).

Almost surely, 2^{2496960205740} is an apocalyptic number.

2496960205740 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 2496960205740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425012454400).

2496960205740 is an abundant number, since it is smaller than the sum of its proper divisors (8353064703060).

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

2496960205740 is a wasteful number, since it uses less digits than its factorization.

2496960205740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344 (or 12323 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2496960205740 in words is "two trillion, four hundred ninety-six billion, nine hundred sixty million, two hundred five thousand, seven hundred forty".