2549285405920 has 384 divisors, whose sum is σ = 6782087854080. Its totient is φ = 897652654080.

The previous prime is 2549285405911. The next prime is 2549285405929. The reversal of 2549285405920 is 295045829452.

It is an interprime number because it is at equal distance from previous prime (2549285405911) and next prime (2549285405929).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2549285405929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3868414551 + ... + 3868415209.

It is an arithmetic number, because the mean of its divisors is an integer number (17661687120).

Almost surely, 2^{2549285405920} is an apocalyptic number.

2549285405920 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 2549285405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391043927040).

2549285405920 is an abundant number, since it is smaller than the sum of its proper divisors (4232802448160).

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

2549285405920 is a wasteful number, since it uses less digits than its factorization.

2549285405920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 55.

The spelling of 2549285405920 in words is "two trillion, five hundred forty-nine billion, two hundred eighty-five million, four hundred five thousand, nine hundred twenty".