2497746420000 has 1440 divisors, whose sum is σ = 10400560842672. Its totient is φ = 562692096000.

The previous prime is 2497746419969. The next prime is 2497746420023. The reversal of 2497746420000 is 246477942.

It can be written as a sum of positive squares in 40 ways, for example, as 781887451536 + 1715858968464 = 884244^2 + 1309908^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1471859152 + ... + 1471860848.

Almost surely, 2^{2497746420000} is an apocalyptic number.

2497746420000 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 2497746420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200280421336).

2497746420000 is an abundant number, since it is smaller than the sum of its proper divisors (7902814422672).

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

2497746420000 is a wasteful number, since it uses less digits than its factorization.

2497746420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2497746420000 in words is "two trillion, four hundred ninety-seven billion, seven hundred forty-six million, four hundred twenty thousand".