2495947299840 has 1056 divisors, whose sum is σ = 9363452904000. Its totient is φ = 614505775104.

The previous prime is 2495947299827. The next prime is 2495947299841. The reversal of 2495947299840 is 489927495942.

2495947299840 is a `hidden beast` number, since 2 + 4 + 9 + 594 + 7 + 29 + 9 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2495947299841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16751324086 + ... + 16751324234.

Almost surely, 2^{2495947299840} is an apocalyptic number.

2495947299840 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 2495947299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681726452000).

2495947299840 is an abundant number, since it is smaller than the sum of its proper divisors (6867505604160).

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

2495947299840 is a wasteful number, since it uses less digits than its factorization.

2495947299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 2495947299840 in words is "two trillion, four hundred ninety-five billion, nine hundred forty-seven million, two hundred ninety-nine thousand, eight hundred forty".