2793253950648 has 256 divisors, whose sum is σ = 8982175104000. Its totient is φ = 787766280192.

The previous prime is 2793253950583. The next prime is 2793253950659. The reversal of 2793253950648 is 8460593523972.

2793253950648 is a `hidden beast` number, since 2 + 7 + 9 + 3 + 2 + 539 + 50 + 6 + 48 = 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 63 ways as a sum of consecutive naturals, for example, 152719488 + ... + 152737776.

It is an arithmetic number, because the mean of its divisors is an integer number (35086621500).

Almost surely, 2^{2793253950648} is an apocalyptic number.

2793253950648 is a gapful number since it is divisible by the number (28) 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 2793253950648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491087552000).

2793253950648 is an abundant number, since it is smaller than the sum of its proper divisors (6188921153352).

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

2793253950648 is a wasteful number, since it uses less digits than its factorization.

2793253950648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19611 (or 19601 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 2793253950648 in words is "two trillion, seven hundred ninety-three billion, two hundred fifty-three million, nine hundred fifty thousand, six hundred forty-eight".