2465405778000 has 320 divisors, whose sum is σ = 8675600154624. Its totient is φ = 597360960000.

The previous prime is 2465405777971. The next prime is 2465405778007. The reversal of 2465405778000 is 8775045642.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2465405778007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141429285 + ... + 141446715.

Almost surely, 2^{2465405778000} is an apocalyptic number.

2465405778000 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 2465405778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337800077312).

2465405778000 is an abundant number, since it is smaller than the sum of its proper divisors (6210194376624).

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

2465405778000 is a wasteful number, since it uses less digits than its factorization.

2465405778000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19611 (or 19595 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 2465405778000 in words is "two trillion, four hundred sixty-five billion, four hundred five million, seven hundred seventy-eight thousand".