2452351039488 has 1152 divisors, whose sum is σ = 8737503989760. Its totient is φ = 647839088640.

The previous prime is 2452351039469. The next prime is 2452351039529. The reversal of 2452351039488 is 8849301532542.

2452351039488 is a `hidden beast` number, since 2 + 4 + 5 + 235 + 10 + 394 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10803308431 + ... + 10803308657.

It is an arithmetic number, because the mean of its divisors is an integer number (7584638880).

Almost surely, 2^{2452351039488} is an apocalyptic number.

2452351039488 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 2452351039488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368751994880).

2452351039488 is an abundant number, since it is smaller than the sum of its proper divisors (6285152950272).

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

2452351039488 is a wasteful number, since it uses less digits than its factorization.

2452351039488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2452351039488 in words is "two trillion, four hundred fifty-two billion, three hundred fifty-one million, thirty-nine thousand, four hundred eighty-eight".