2603402081280 has 2376 divisors, whose sum is σ = 12438357573096. Its totient is φ = 498672599040.

The previous prime is 2603402081279. The next prime is 2603402081333. The reversal of 2603402081280 is 821802043062.

2603402081280 is a `hidden beast` number, since 2 + 603 + 4 + 0 + 20 + 8 + 1 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 482813743104 + 2120588338176 = 694848^2 + 1456224^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3551707794 + ... + 3551708526.

Almost surely, 2^{2603402081280} is an apocalyptic number.

2603402081280 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 2603402081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219178786548).

2603402081280 is an abundant number, since it is smaller than the sum of its proper divisors (9834955491816).

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

2603402081280 is a wasteful number, since it uses less digits than its factorization.

2603402081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2603402081280 in words is "two trillion, six hundred three billion, four hundred two million, eighty-one thousand, two hundred eighty".