2462738826240 has 3696 divisors, whose sum is σ = 11998036229760. Its totient is φ = 472979865600.

The previous prime is 2462738826217. The next prime is 2462738826241. The reversal of 2462738826240 is 426288372642.

2462738826240 is a `hidden beast` number, since 2 + 4 + 6 + 2 + 7 + 3 + 8 + 8 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2462738826241) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 60066800620 + ... + 60066800660.

Almost surely, 2^{2462738826240} is an apocalyptic number.

2462738826240 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 2462738826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999018114880).

2462738826240 is an abundant number, since it is smaller than the sum of its proper divisors (9535297403520).

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

2462738826240 is a wasteful number, since it uses less digits than its factorization.

2462738826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 2462738826240 in words is "two trillion, four hundred sixty-two billion, seven hundred thirty-eight million, eight hundred twenty-six thousand, two hundred forty".