2461472955648 has 1512 divisors, whose sum is σ = 9331712920320. Its totient is φ = 643360112640.

The previous prime is 2461472955637. The next prime is 2461472955659. The reversal of 2461472955648 is 8465592741642.

2461472955648 is a `hidden beast` number, since 2 + 4 + 6 + 1 + 4 + 72 + 9 + 556 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2461472955637) and next prime (2461472955659).

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×2461472955648² (a number of 26 digits) contains 22 as substring.

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 167 ways as a sum of consecutive naturals, for example, 5386155036 + ... + 5386155492.

Almost surely, 2^{2461472955648} is an apocalyptic number.

2461472955648 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 2461472955648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665856460160).

2461472955648 is an abundant number, since it is smaller than the sum of its proper divisors (6870239964672).

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

2461472955648 is an equidigital number, since it uses as much as digits as its factorization.

2461472955648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 519 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 2461472955648 in words is "two trillion, four hundred sixty-one billion, four hundred seventy-two million, nine hundred fifty-five thousand, six hundred forty-eight".