2354664249840 has 640 divisors, whose sum is σ = 9329760000000. Its totient is φ = 478987665408.

The previous prime is 2354664249827. The next prime is 2354664249853. The reversal of 2354664249840 is 489424664532.

It is an interprime number because it is at equal distance from previous prime (2354664249827) and next prime (2354664249853).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34215786 + ... + 34284534.

It is an arithmetic number, because the mean of its divisors is an integer number (14577750000).

Almost surely, 2^{2354664249840} is an apocalyptic number.

2354664249840 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 2354664249840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664880000000).

2354664249840 is an abundant number, since it is smaller than the sum of its proper divisors (6975095750160).

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

2354664249840 is a wasteful number, since it uses less digits than its factorization.

2354664249840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68857 (or 68851 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 57.

The spelling of 2354664249840 in words is "two trillion, three hundred fifty-four billion, six hundred sixty-four million, two hundred forty-nine thousand, eight hundred forty".